Question

[Phạm Tuấn Anh]

X chia hết cho 12,x chia hết cho 15,x chia hết cho 20 và x<200

Answer 1

[HT.Phong (9A5)]

x ⋮ 12, x ⋮ 15, x ⋮ 20

\(\Rightarrow x\in BC\left(12;15;20\right)\) 

Ta có:

\(12=2^2\cdot3\)

\(15=3\cdot5\)

\(20=2^2\cdot5\)

\(\Rightarrow BCNN\left(12,15,20\right)=2^2\cdot3\cdot5=60\)

\(\Rightarrow BC\left(12,15,20\right)\in B\left(60\right)=\left\{0;60;120;180;240;300;...\right\}\)

Mà: \(x< 200\)

\(\Rightarrow x\in\left\{0;60;120;180\right\}\)