Question: Let a , b , c i n Z + . Prove: ( a ) a * b * c * l c m (

Let a,b,cinZ+. Prove:
(a)a*b*c*lcm(a,b,c)=gcd(a,b,c)*lcm(a,b)*lcm(b,c)*lcm(c,a)
(b) lcm(a,b,c)*gcd(a,b)*gcd(b,c)*gcd(c,a)=gcd(a,b,c)*a*b*c
Let a,b,cinZ+. Prove: (a)a*b*c*lcm(a,b,c)=gcd(a,b,c)*lcm(a,b)*lcm(b,c)*lcm(c,a) (b) lcm(a,b,c)*gcd(a,b)*gcd(b,c)*gcd(c,a)=gcd(a,b,c)*a*b*c

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