Răspuns:
{a;b;c} d.p. {3;4;6} <=> [tex]\frac{a}{3}[/tex]=[tex]\frac{b}{4}[/tex]=[tex]\frac{c}{6}[/tex]=k=>a=3k
b=4k
c=6k
[tex]\frac{a x bxc}1}[/tex]=[tex]\frac{72}{1}[/tex]=>axbxc=576
3k x 4k x 6k=576
72k=576:72
k=8=>a=8x3=24
b=4x8=32
c=6x8=48.
Explicație pas cu pas: