AMC 10 Step by Step
Log inSign up
2016 AMC 10AProblem 25P21-25~7 minPrint
GCD & LCMBasic CountingSplit into exhaustive cases and handle eachSet up the equation/formula and compute; no special trick needed

How many ordered triples (x,y,z)(x,y,z) of positive integers satisfy lcm(x,y)=72,lcm(x,z)=600\text{lcm}(x,y) = 72, \text{lcm}(x,z) = 600 and lcm(y,z)=900\text{lcm}(y,z)=900 ?

Log in to save your progress.

Similar problems

Problem © Mathematical Association of America (MAA), American Mathematics Competitions. Reproduced for non-commercial educational use. Solution and commentary are original to this site.