Find the smallest square number that is divisible by each of the number 8,12,18 and 30

3600.

Step-by-step explanation:

8 = 2*2*2

12 = 2*3

18 = 2*3*3

30 = 2*3*5

The lowest common multiple of the these is

2 * 2 * 2 * 3*3 * 5 = 360.

So the smallest square number = 2*2*2*2*3*3*5*5

(We make all the sets of factors a square).

So it's 16 * 9 * 25 = 3600.