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Sum of factors problem (I think)

Asked by PhiNotPi (12681points) February 21st, 2011

What is L+M+N, if
1) L^3*M^2*N = A+B
2) A^2*B = 1259
3) A, B, L, M, and N are all natural numbers
4) N has to be the lowest possible number that will make the equation work.

There seems to be many conditions on the problem, and I don’t know how to work it out.
This is not homework.

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