# Find the smallest square number that is divisible by each of the numbers 4, 9 and 10

**Solution:**

The number that will be perfectly divisible by each of the numbers 4, 9 and 10 will be their LCM.

LCM of 4, 9, 10

= 2 × 2 × 3 × 3 × 5

= 180

Here, the prime factor 5 does not have a pair. Therefore 180 is multiplied by 5 then the number obtained is a perfect square.

Thus, 180 × 5 = 900

So, 900 is the smallest square that is divisible by 4, 9, and 10

**Video Solution:**

## Find the smallest square number that is divisible by each of the numbers 4, 9 and 10

### NCERT Solutions for Class 8 Maths - Chapter 6 Exercise 6.3 Question 9

**Summary:**

The smallest perfect square number that is divisible each by 4, 9 and 10 is 900