x chia hết cho 39, 65, 91
=> x \(\in\) BC ( 39, 65, 91 ) và 400 < x < 1600
BCNN ( 39, 65, 91 ) = 3 . 5 . 7. 13 = 1365
BC ( 39, 65, 91 ) = B ( 1365 ) = \(\left\{0,1365,....\right\}\)
Vì 400< x < 1600 => x = 1365
Vậy x = 1365
Vì \(x\) \(⋮\) \(39\), \(x\) \(⋮\) 65, \(x\) \(⋮\) \(91\) \(\left(x\in N\right)\)
\(\Rightarrow x\in BC\left(39;65;91\right)\)
Ta có:
\(39=13.3\)
\(65=13.5\)
\(91=13.7\)
\(\Rightarrow BCNN\left(39;65;91\right)=13.3.5.7=1365\)
\(\Rightarrow x\in BC\left(39;65;91\right)=\left\{0;1365;2730;...\right\}\)
Vì \(400< x< 1600\)
\(\Rightarrow x=1365\)
Vậy \(x=1365\).