Question

Find the smallest number such that is divisible by each of the numbers 4,9 and 10.​

Answer 1

Answer:

We know that LCM is the smallest number divisible by all its factors.

Since, LCM of 4, 9 and 10 = 2 × 2 × 9 × 5 = 180

But 180 is not a perfect square.

Again,

∴ 180 = 2 × 2 × 3 × 3 × 5

∵ All the prime factors of 900 are paired.

∴ 900 is a perfect square.

Thus, the required number = 900.