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(1. Calculati cel mai mic multiplu comun al numerelor:

(b) 12; 24; 36;
(e) 16; 20; 48;
(h) 18; 45;56
(k) (450; 900; 1350;
(n) 120; 360; 720;​


Răspuns :

b) 12 = 2^2 × 3

24 = 2^3 × 3

36 = 2^2 × 3^2

C.m.m.m.c.(12,24,36) = 2^3 × 3^2 = 8 × 9 = 72

e) 16 = 2^4

20 = 2^2 × 5

48 = 2^4 × 3

C.m.m.m.c.(16,20,48) = 2^4 × 3 × 5 = 240

h) 18 = 2 × 3^2

45 = 3^2 × 5

56 = 2^3 × 7

C.m.m.m.c.(18,45,56) = 2^3 × 3^2 × 5 × 7 = 8×9×5×7 = 2520

k) 450 = 2 × 3^2 × 5^2

900 = 2^2 × 3^2 × 5^2

1350 = 2 × 3^3 × 5^2

C.m.m.m.c.(450,900,1350) = 2^2 × 3^3 × 5^2 = 4 × 27 × 25 = 2700

n) 120 = 2^3 × 3 × 5

360 = 2^3 × 3^2 × 5

720 = 2^4 × 3^2 × 5

C.m.m.m.c.(120,360,720) = 2^4 × 3^2 × 5 = 720