Find the smallest square number that can be completely divided by 9 , 15 and20.
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30 is the smallest square number that can be completely divided by 9 , 15, and 20.
First find the LCM of 9 , 15, 20 which is 180.
Now if you see the prime factorization of 180 is 2×2×3×3×5.
So now to make 180 a perfect square we need to multiply it by 5 so that its prime factorization is 2×2×3×3×5×5 .
Now 180×5= 900.
Now the square root of 900 is 30
Therefore 30 is the answer...
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