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

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 = 2$\times$2  ;           9 = 3$\times$3   ;             10 =  2$\times$5

Prime factorisation of 180 gives = $2\times2\times3\times3\times5$.

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.

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