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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.
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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