So here I'm stuck on this question.

I would greatly appreciate it if someone would come up with the steps for the solution.

Here's the question.

Let \(S\) be the least number with the following property: \(10\times S\) is a perfect square and \(6\times S\) is a perfect cube. Find sum of the digits of the number \(S\)?

Answer: 9

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## Comments

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TopNewestI tried but I'm not sure of the steps. I'll check the wiki.

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What have you tried? Have you looked at the Perfect Squares, Cubes and Powers wiki?

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