Question

The boys of a school maybe arranged in 15 or 25 equal rows. They maybe arranged in a square .Find the least possible number of boys in that school?​

Answer 1

Answer:The number has to be evenly divisible by 12,15,18.

12 = 2²× 3

15 = 3 × 5

18 = 2 × 3²

LCM is thus 2² × 3² × 5 = 180

But, we want the number to be a perfect square. Since it already is a multiple of 2² and 3², we just need to add a factor of 5 to get 5²

180×5 = 900

Hope it helps you