# lcm and sum

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• Mar 20th 2009, 04:28 AM
NonCommAlg
lcm and sum
Is it possible to have $x_1 + x_2 + \cdots + x_n = \text{lcm} \{x_1, x_2, \cdots , x_n \}$ for some positive integers $x_1, x_2, \cdots, x_n$ and $n \geq 2$ ? Have fun!
• Mar 24th 2009, 09:31 AM
sbcd90
1,2,3