Find the least square number which is exactly divisible by 3, 4, 5, 6, and 8.

Given:

the least square number which is exactly divisible by 3, 4, 5, 6, and 8 is equal to L.C.M. 0f 3,4,5,6 and 8.

Hence, their L.C.M. is 2× 2× 2× 3× 5 = 120

As we see, (2× 2)× 2× 3× 5

i.e. 2,3 and 5 is not able to make their pair.

Hence, to make it perfect square, it must be multiplied with 2× 3× 5 = 30

As, 120× 30 = 3600

Hence 3600 is least square number which is exactly divisible by 3, 4, 5, 6, and 8.