Question 4
Is there a positive integer $m$ such that the equation
$$ \frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{abc}=\frac{m}{a+b+c} $$
has infinitely many solutions in positive integers $a$, $b$, $c$?
$$ \frac{1}{a}+\frac{1}{b}+\frac{1}{c}+\frac{1}{abc}=\frac{m}{a+b+c} $$
has infinitely many solutions in positive integers $a$, $b$, $c$?