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Nguyễn Hương Giang

tìm số tự nhiên nhỏ nhất khi chia cho 8 thì dư 6, chia cho 12 dư 10, chia cho 15 dư 13 và chia hết cho 23

Feliks Zemdegs
25 tháng 10 2015 lúc 20:15

Gọi số phải tìm là A
Theo đề bài:
A chia 8 dư 6 => A+2 chia hêt cho 8 (khi trình bày thì cháu viết 3 cái chấm thẳng hàng nhé)
A chia 12 dư 10 => A+2 chia hết cho 12
A chia cho 15 dư 13 => A+2 chia hết cho 15
=> A+2 là bội số chung của {8; 12; 15}.
Bội số chung của {8;12;15} là: 120; 240; 360; 480; 600....
=> A có thể là những số sau: 118; 238; 358; 478; 598; ....
Do A chia hết cho 23 nên A = 598 (thỏa mãn số tự nhiên nhỏ nhất cần tìm).
Vậy số tự nhiên nhỏ nhất cần tìm là 598.

Hồ Vĩnh Khang
13 tháng 3 2016 lúc 20:38

598 đó

 t i c k nhé

Hồ Ngọc Yến Uyên
22 tháng 3 2016 lúc 8:37

là 598 đó

vu thi thu hang
22 tháng 9 2016 lúc 15:23

gọi số cần tin là x x+2 chia het 3 4 5 6 

vu thi thu hang
22 tháng 9 2016 lúc 15:32

gọi số cần tìm  là x x + 8 12 15 13 x+ 8 12 15 13 mà bội chung nhỏ nhất của  8 12 15 13 là 1440 suy ra x 8 thuốc bôi 2880 ba chấm  x thuộc tập hợp 1438 2878 vỉ x nhỏ nhất va chia het 23 nen x 2880

Trang gato
10 tháng 11 2016 lúc 12:32

thank you very much  ! 

do dat
8 tháng 2 2017 lúc 16:51

là 598 chuẩn luôn

Nguyên Trần Đăng
14 tháng 2 2017 lúc 16:12

598 do ban oi

Đinh Tu Nhien
14 tháng 2 2017 lúc 16:18

598 đó 11111111111111111111111111111111111111111111111111111111100000000000000000000000000000000000000000000000000000000000000%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% luôn

Nguyen The Thuan
21 tháng 2 2017 lúc 22:09

598,00000000 đó nhé

Hoàng Duy Long
26 tháng 2 2017 lúc 16:04

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Dương Lan Hương
28 tháng 2 2017 lúc 20:47

598 10000000000000000000000000000000% lun

Phạm Thị Thu Liên
4 tháng 3 2017 lúc 9:08

598 mk chắc 100% lun . mk thử rùi

Rein
4 tháng 3 2017 lúc 20:03

598 day chuan 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000% luon

Nguyễn Hải Nam
5 tháng 3 2017 lúc 15:21

thanks

Nguyễn Thái Dươg
5 tháng 3 2017 lúc 16:25

598

100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% he he 

Lee Min Hoo
5 tháng 3 2017 lúc 19:32

598 mình thử rùi đúng 100% đó

tieu thu de thuong
6 tháng 3 2017 lúc 9:22

598 nha không sai đâu

không đúng không lấy tiền

nguyen khanh ly
6 tháng 3 2017 lúc 9:44

598 do minh lam roi

super thong
9 tháng 3 2017 lúc 16:16

598 đúng100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000....000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000.....00000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000% LUOn

Nguyễn Vũ Như Ngọc
17 tháng 3 2017 lúc 14:57

Đáp án là 598 đó bạn mk làm rùi chắc chắn 100% lun

Nguyễn Thị lili
17 tháng 3 2017 lúc 20:55

598 dung 100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000%

Cao Nguyên Dung
19 tháng 3 2017 lúc 20:05

là 598 

ĐÚNG 1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000%

»βέ•Ҫɦαηɦ«
14 tháng 7 2017 lúc 15:07

Gọi số phải tìm là a
Theo bài ra ta có: 
(a + 2) ⋮ 8
(a + 2) ⋮ 12
(a + 2) ⋮ 15
Suy ra: (a + 2) ∈ BC(8,12,15)
Ta có:
8 = 23
12 = 22.3
15 = 3.5
Suy ra: BCLN(8,12,15) = 23.5 = 120
Suy ra: B(8,12,15) = {120, 240, 360, 480, 600, …}
Suy ra: a = {118, 238, 358, 478, 598, …}
Vì: a ⋮ 23. Suy ra: a = 598

Nguyễn Nam Giang
25 tháng 10 2017 lúc 19:15

what?

Minion
19 tháng 11 2017 lúc 12:32

598 100%%%% cô mik chữa rồi

Nguyễn Quang Anh
25 tháng 11 2017 lúc 22:42

Mình cũng đang cần xem đáp án bài này! Thanks

Nguyễn Thị Như Trâm
4 tháng 12 2017 lúc 21:31

598 chuẩn 0 cần chỉnh 100%

xunu12345
11 tháng 12 2017 lúc 18:56

bang 598 chuan1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%hihi

Dao Mai Phuong
22 tháng 12 2017 lúc 22:13

Gọi số cần tìm là a (a  \(\in\)N* và a nhỏ nhất ) 

a: 8 dư 6 \(\Rightarrow\)(a + 2 ) \(⋮\)8        (1)

a : 12 dư 10 \(\Rightarrow\)( a + 2 ) \(⋮\)12        (2)

a: 15 dư 13 \(\Rightarrow\)( a + 2 ) \(⋮\)15            (3)

Từ (1) , (2) và (3) \(\Rightarrow\)a+2 \(\in\)BC( 8,12,15)

Ta có : 8 = 2

           12 = 22 . 3

           15 = 3 . 5

BCNN( 8,12,15 ) = 23 . 3 . 5 = 120

\(\Rightarrow\)a + 2 = 120 . k ( k\(\in\)N* ) 

Mà a nhỏ nhất và a \(⋮\)23 nên ta thử lần lượt :

\(\in\){ 1 ; 2 ; 3 ; ...; 10 } thì k = 5 thỏa mãn 

\(\Rightarrow\)a+ 2 = 120 . 5 = 600 \(\Rightarrow\)a = 598 \(⋮\)23

Vậy số cần tìm là : 598 


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