find the smallest square number that can be completely divided by 9,15 & 20?

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Break these numbers down to their factors and we get 9=3^2, 15=3*5, and 20=2^2*5. When we multiply them together we get 2^2*3^3*5^2, which requires another 3 to make it into a perfect square. So the answer is 4*81*25=8100.

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