ChallengeChallenge ShareChallenge · Challenge problemHow many ordered triples (a,b,c)(a,b,c)(a,b,c) of positive integers satisfylcm(a,b)=lcm(b,c)=lcm(c,a)=2000?\operatorname{lcm}(a,b) = \operatorname{lcm}(b,c) = \operatorname{lcm}(c,a) = 2000?lcm(a,b)=lcm(b,c)=lcm(c,a)=2000?A122122122B142142142C130130130D106106106E160160160Check Show answer Walk through it step by step Practice more like this