Question

Find the least number which is a square and exactly divisible by each of the numbers 8 ,12,15,20

Answer 1

Hey friend,

Find the least square number which is exactly divisible by 8,12,15 and 20

Answer:-
First,find the hcf of 8,12,15 and 20
8=2×2×2=2³
12=2×2×3=2²×3
15=3×5
20=2×2×5=2²×5

a number which is divisible by each of them should contain
2³x3x5
If it is a perfect square number,it should have even powers.
So,
2⁴×3²×5²=16×9×25
=3600

So,the answer is 3600

Hope it helps