Let $$x$$ be the least number divisible by 8, 12, 30, 36 and 45 and $$x$$ is also perfect square. What is the volue of $$x$$?

To find the least divisible number , we have find LCM of the given numbers

8, 12, 30, 36 , 45

LCM = $$2\times\ 2\times\ 2\times\ 3\times\ 3\times\ 5$$ 

= 360 

As we have given, the number is also a perfect square 

All the factors should be in  pair, for making that we have to multiply it by 2 and 5 ,

i.e; $$2\times\ 2\times\ 2\times\ 2\times\ 3\times\ 3\times\ 5\times\ 5$$ 

= 3600 

Hence, Option A is correct.