What is gcd(lcm(a,b),lcm(a,c))\gcd(\text{lcm}(a, b), \text{lcm}(a, c))gcd(lcm(a,b),lcm(a,c)) in terms of aaa, bbb, ccc when gcd(a,b)=gcd(a,c)=1\gcd(a, b) = \gcd(a, c) = 1gcd(a,b)=gcd(a,c)=1?
aaa
lcm(a,bc)\text{lcm}(a, bc)lcm(a,bc)
111
lcm(b,c)\text{lcm}(b, c)lcm(b,c)