Question

find the least squares NUMBER which is exactly divisible by each of the number 8,12,15and 20 . pls solve it

Answer 1

Here is your answer dear⬇️⬇️



First of all, we will find the LCM 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


= 2³×3×5


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

$\sqrt{3600}$ = 60


So the 3600 number is square.