MathCastle
Number TheorySuperchallengeFactors & Multiples

Factors & Multiples · Superchallenge problem

How many ordered triples (a,b,c)(a, b, c) of positive integers satisfy lcm⁡(a,b,c)=360\operatorname{lcm}(a, b, c) = 360 and gcd⁡(a,b,c)=1\gcd(a, b, c) = 1?