Question

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

Answer 1

First we have to find out the LCM of 3, 4, 5, 6 and 8

So, LCM of 3, 4, 5, 6 and 8 = 2 × 2 × 2 × 3 × 5

= 120

Now, grouping the factors, (2× 2) × 2× 3× 5

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

So, to make it perfect square, 120 must be multiplied with 2× 3× 5 = 30

Then,

= 120× 30 = 3600

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