A strategy to work out the value of the vertices using the edges is to multiplying the numbers in the edges together. you then square route the answer. this answer is the same as all of the vertices timed together. for some numbers you can then find its prime factor form to find the vertces different amounts.
lets say these are your results.
3 if you did 56*24*21=28224
24 21 28224 square rooted = 168
8 56 7 168/7= 24
24/3= 8
7, 3, 8 (2*2*2) 8/2= 4
4/2= 2
its quite obvious that all of the edges are equal to all of the vertices multiplied together then squared as the edges are equivalent to xy yz xz
xy*yz*xz=x2*y2*z2
x2*y2*z2 square rooted =x*y*z