Question

a*b=300 (a,b)=5 [a,b]=?

Answer 1

[tex](a,b) \cdot [a,b] = a \cdot b \Rightarrow [a,b]= \frac{a\cdot b}{(a,b)} = \frac{300}{5}=60. [/tex]

Rezolvare:
(a,b)*[a,b]=a*b ⇒ [a,b]=a*b/(a,b)=300/5=60.

Deci [a,b]=60.

Answer 2

a·b=300;
⇒{a,b}·[a,b]=a·b=300
⇒{a,b]·[a,b]=300
⇒5·[a,b]=300⇒[a,b]=60⇒cel mai mic multiplu comun al numerelor a si b este 60;