Let c(a,b,c) = a/b + b/c + c/a. Compute c(2,12,3).
c(2,12,3) = 212+123+32
= 16+246+96
= 346
= 173 or 523
Plugging in, you get 212+123+32=16+4+32=4+16+96=4+106=4+53=173