[tex]\text{Numerele sunt: } \\
12;~ 80;~ 192;~ 18;~ 60;~ 288;~ 20;~ 30;~ 216;~ 12;~ 60;~ 2 \\
\text{Observam ca 12 si 60 apar de doua ori in lista.} \\
\text{Din acest vom elimina cate unu din fiecare (un "12" si un "60"). } \\
Am~ramas~cu~numerele: \\
12;~ 80;~ 192;~ 18;~ 60;~ 288;~ 20;~ 30;~ 216;~ 2 \\
\text{Le ordonam crescator: } \\
2;~ 12;~18;~20;~ 30;~ 60;~ 80;~ 192;~ 216;~ 288[/tex]
[tex]2;~ 12;~18;~20;~ 30;~ 60;~ 80;~ 192;~ 216;~ 288 \\ \\
\text{Descompunem numerele in factori primi:} \\ \\
2 = 2 \\
12 = 2^2 \times 3 \\
18 = 2 \times 3^2 \\
20 = 2^2 \times 5 \\
30 = 2 \times 3 \times 5 \\
60 = 2^2 \times 3 \times 5 \\
80 = 2^4 \times 5 \\
192 = 2^6 \times 3 \\
216 = 2^3 \times 3^3 \\
288 = 2^5 \times 3^2 \\ \\
\text{cmmdc} = \boxed{2} \\ \\
\text{cmmmc} = 2^6 \times 3^3 \times 5 = 64 \times 27 \times 5 = \boxed{8640}\\ [/tex]
