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Determinați, prin calcul, c.m.m.m.c. al numerelor:
a) 6; 8;
b) 12; 18;
e) 10; 15;
f) 24; 30;



Răspuns :

Buna!

a) 6,8.

Descompunem :

[tex]6 = 2 \times 3[/tex]

[tex] 8 = {2}^{3} [/tex]

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c.m.m.m.c :

[tex] {2}^{3} \times 3 = 8 \times 3 = 24[/tex]

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b) 12,18.

Descompunem :

[tex]12 = {2}^{2} \times 3 [/tex]

[tex]18 = 2 \times {3}^{2} [/tex]

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c.m.m.m.c :

[tex] {2}^{2} \times {3}^{2} = 4 \times 9 = 36[/tex]

______________________

c) 10,15.

Descompunem :

[tex]10 = 2 \times 5[/tex]

[tex]15 = 3 \times 5[/tex]

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c.m.m.m.c :

[tex]2 \times 3 \times 5 = 30[/tex]

______________________

d)24,30.

Descompunem :

[tex]24 = {2}^{3} \times 3[/tex]

[tex]30 = 2 \times 3 \times 5[/tex]

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c.m.m.m.c :

[tex] {2}^{3} \times 3 \times 5 = 8 \times 3 \times 5 = 120[/tex]