# A number theory problem by Syed Baqir

Number Theory Level 3

Find all sets of positive integers a, b and c with $$a\leq b \leq c$$ that satisfy the equation.

$\frac1a + \frac1b + \frac1c=1$

Find the sum of all such possibilities, IE $$\sum a_i + b_i + c_i$$.

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