Determine all triples of positive integers $a$, $ b$ and $c$ such that their least common multiple is equal to their sum.
Problem
Source: New Zealand NZMOC Camp Selection Problems 2014 p6
Tags: least common multiple, LCM, number theory
Source: New Zealand NZMOC Camp Selection Problems 2014 p6
Tags: least common multiple, LCM, number theory
Determine all triples of positive integers $a$, $ b$ and $c$ such that their least common multiple is equal to their sum.