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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.
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