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# What is the least square number which is exactly divisible by each of these numbers 6, 9, 15, and 20?

**Given:**Numbers = 6, 9, 15 and 20.

**To do:**To find the least square number which is exactly divisible by each of these numbers 6, 9, 15, and 20.

**Solution:**

The smallest number divisible by 6, 9, 15 and 20 can be their L.C.M. which is 180

On resolving the L.C.M. as prime factors we get, $180= 2\times2\times3\times3\times5$

To make it a perfect square number we will multiply it by 5 then it becomes,

$\Rightarrow 180\times5 =2\times2\times3\times3\times5\times5 =900$

Thus, the least square number which is exactly divisible by 6, 9, 15 and 20 is 900.

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