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What is the smallest positive integer n such that 2n is a perfect square and 3n is a perfect cube and 5n is a perfect fifth power?

 Apr 17, 2021
 #1
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The smallest n is 240.

 Apr 17, 2021
 #2
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I think it's answered here: https://www.algebra.com/algebra/homework/Exponents/Exponents.faq.question.32179.html

 

td;lr the answer might be 215 x 320 x 524

 Apr 17, 2021

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