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Iam not sure.
the factorisation of  7803 is 3*3*3*17*17. as 17 is not a group of 3. 17 is multiplied to 7803 to make it perfect cube.
7803*17=132651. cube root of 132651 is 51.so I think the smallest number to be multiplied is 17
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The answer to your question is 17
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