>>11653486Turns out:
Least common multiple of (x,y,z) where all three numbers are prime is xyz. Now introduce (a,b,c) such that xa=yb=zc. xa must be clearly divisible by yb and zc, but x can't divide y, therefore it must divide b or b = x*l. You get a new set of variables (l,m,n) such that: xyl = yzm = zxn. Repeat process to realize that (l,m,n) = (z,x,y) or since (x,y,z) in the original post corresponds to what I have defined here as (yz,zx,xy), you get yz+zx+xy which is 61 and not 84.
>>11653464He has been right all along.