SOLUTION: Joe Lucky recently won the New Mexico lottery. The amount of money that he won just happens to be the smallest number of cents (other than 1 cent) that is a perfect square, a perf

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Question 238440: Joe Lucky recently won the New Mexico lottery. The amount of money that he won just happens to be the smallest number of cents (other than 1 cent) that is a perfect square, a perfect cube, and a perfect fifth power. How much money did he actually win?
Answer by jsmallt9(3758)   (Show Source): You can put this solution on YOUR website!
The key to this problem is to understand the following property of exponents: :
So an exponent that is a prefect square, perfect cube and a perfect fifth power, all at the same time, will be a multiple of 2, 3 and 5. The lowest such exponent will be the Lowest Common Multiple (LCM) of these. The LCM of 2, 3 and 5 is 30.

So the smallest number of cents (other than 1) would be cents which is $10737418.24.
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