Question

What is the smallest square number divisible by 2 4 5 6 9?

Answer 1

First we find LCM of given numbers and then complete the pair to find least squarer number.

2 = 2  

4 = 2 × 2

5 = 5

6 = 2 × 3

9 = 3 × 3

LCM of 2 , 4 , 5 , 6 , 9 = 2 × 2 × 3 × 3 × 5 = 180

Now to find least Square number we complete the pairs.

we just needed one 5 to complete the pair.

We get, Least Square number = 2 × 2 × 3 × 3 × 5 × 5 = 900

Therefore, Required Least Square number is 900.

Hope this helps!