Question

Find the least number which is a perfect square and which is also divisible by 12, 15
and 24.

Answer 1

12 = 2 x 2 x 3
15 = 3 x 5
20 = 2 x 2 x 2 x 3
So, LCM = 2 x 2 x 3 x 5 = 60
As 3 and 5 are not in pair in LCM’s factor so we need to multiply 60 by 5 and 3 to make it a perfect square. Required Smallest Number = 60 x 3 x 5 = 900.