Question

aflati c m m d c si c m m m c al numerelor 12 80 192 18 60 288 20 30 216 12 60 2

Answer 1

Scuze pentru scrisul urat ! C.m.m.m.c=2^6*3^3*5=8640 C.m.m.dc=2*5*3=30

Answer 2

   
[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]