Question

Find the smallest perfect square number that is divisible by each of the numbers 8, 15 and 20.

Answer 1

$8=2\times 2\times 2$
$15=3\times 5$
$20=2\times 2\times 5$
Least common multiple of 8,15, 20 = $2\times 2\times 2\times 3\times 5=120$
$120=2^3\times 3\times 5$
To make 120 a perfect square it should be multiplied by 2,3 and 5.
Hence, the number would be, $120\times 2\times 3\times 5$ = 3600