Question

Find the least square number which is exactly divisible by each one of the numbers $8,5,28$.

Answer 1

First find the L.C.M. of $5,8\&28$.

$5=1\times 5$

$8=2\times 2\times 2=2^3$

$28=2\times 2\times 7$

A number which is divisible by each of them should contain$=2^3\times 5\times 7$= $2800$

If it is a perfect square number,

It should have even power

$2^4\times 5^2\times 7^2$

$19600$

hence, this is the answer.