Question

smallest square number that is divisible by each of the numbers 4, 9, 10​

Answer 1

900 is the smallest perfect square divisible by 4,9,10 ..

Answer 2

Let us find LCM of 4, 9 and 10

4 = 2 x 2

9 = 3 x 3

10 = 5 x 2

So, LCM = 2 2 x 3 2 x 5 = 180

Now the LCM gives us a clue that if 180 is multiplied by 5 then it will become a perfect square.

The Required number = 180 x 5 = 900