gcd(a,lcm(b,c))==lcm(gcd(a,b),gcd(a,c)) lcm(a,gcd(b,c))==gcd(lcm(a,b),lcm(a,c)) lcm(a,b,c)==((a*b*c*gcd(a,b,c)) / (gcd(a,b)*gcd(a,c)*gcd(b,c))