Question

cel mai mare divizor comun al nr (a,b) ori cel ma mic multiplu comun [a,b]=a ori b; a,b=?; astfel incat [a;b]=240; a ori b=2880

Answer 1

(a,b)*[a,b]=a*b
[a,b]=240
a*b=2880
(a,b)*[a,b]=2880
(a,b)*240=2880
(a,b)=2880/240
(a,b)=12=> a=12x, b=12y
12x*12y=2880=> x*y=2880/144=20
(x,y)=1
x=1 , y=20 => a=12, b=12*20=240
x=4, y=5 => a=12*4=48, b=12*5=60