Question

Daca a * b =900, a,b apartine N si [a;b] =4(a;b) ,determinati (a;b) si [a;b].
Ajutati-ma plzz

Answer 1

[tex](a,b) \cdot [a,b]= a\cdot b\\ (a,b) \cdot 4(a,b)=900\\ 4(a,b)^2=900\\ (a,b)^2=225 \Rightarrow (a,b)=15 \Rightarrow [a,b]=4 \cdot 15=60[/tex]