有三个自然数a.b.c已知a乘以b等于96,b乘以c等于84,a乘以c等于56.a.b.c三个自然数分别是多少

(a*b)*(b*c)*(a*c)=96*84*56=a平方*b平方*c平方=451584
a*b*c = 672
a=(a*b*c)/(b*c)=672/84=8
b=(a*b*c)/(a*c)=672/56=12
c=(a*b*c)/(a*b)=672/96=7
综上：a=8; b=12; c=7