Q.9 Find the smallest square number that is divisible by each of the numbers and .
This has to be done in two steps. First, we will find LCM of given numbers, then we will make it a perfect square.
So the LCM of 4, 9, 10 is 180. 4 = 22 ; 9 = 33 ; 10 = 25
Prime factorisation of 180 gives = .
To make it a perfect square we need to multiply it with 5.
So, the smallest square number which is divisible by each of the numbers 4, 9 and 10 = 900.