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08-08-2017
Mathematics

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Given that n=a3b4c5 where a, b and c are distinct prime numbers, what is the smallest number with which n should be multiplied such that it becomes a perfect square, a perfect cube as well as a perfect fifth power?

Respuesta :

15-08-2017

a^27b^26c^25 would be the smallest number.
This yields a^30b^30c^30.

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