Question

what is the least perfect square which is divisible by 24,30and 60?

Answer 1

➡HERE IS YOUR ANSWER⬇

Now,

24 = 2 × 2 × 2 × 3

30 = 2 × 3 × 5

60 = 2 × 2 × 3 × 5

So, lcm of 24, 30 and 60 is

= 2 × 2 × 2 × 3 × 5

= 120, which is not a perfect square.

It is because of the absence of 2, 3 and 5.

So, multiplying the lcm by 2, 3 and 5, we get a number

= 120 × 2 × 3 × 5

= 3600

= 60², which is the required perfect square.

⬆HOPE THIS HELPS YOU⬅