Question

Calculeaza c.m.m.m.c:
a) [24,36] b)[18,24] c) [12,28] d) [60,48]
e) [72,48] f) [24,36,48] g} [24,32,56] h) [150,225,600]

Ajuror dau 50 puncte

Answer 1

Răspuns: Ai rezolvarea mai jos pentru fiecare caz

Explicație pas cu pas:

Salutare!

(a) [24, 36]

24 = 2³ × 3

36 = 2² × 3²

cmmmc [24, 36] = 2³ × 3² = 72

(b) [18, 24]

18 = 2 × 3²

24 = 2³ × 3

cmmmc [18, 24] = 2³ × 3² = 72

(c) [12, 28]

12 = 2² × 3

24 = 2³ × 3

cmmmc [12, 24] = 2³ × 3 = 24

(d) [60, 48]

60 = 2² × 3 × 5

48 = 2⁴ × 3

cmmmc [60, 48] = 2⁴ × 3  × 5 = 240

(e) [72, 48]

72 = 2³ × 3²

48 = 2⁴ × 3

cmmmc [72, 48] = 2⁴ × 3² = 144

(f) [24, 36, 48]

24 = 2³ × 3

36 = 2² × 3²

48 = 2⁴ × 3

cmmmc [24, 36, 48] = 2⁴ × 3²  = 144

(g) [24, 32, 56]

24 = 2³ × 3

32 = 2⁵

56 =  2³ × 7

cmmmc [24, 32, 56] = 2⁵  × 3  × 7 = 672

(h) [150, 225, 600]

150 = 2 × 3 × 5²

225 = 3²  × 5²

600 = 2³ × 3  × 5²

cmmmc [150, 225, 600] = 2³ × 3²  × 5² = 1800

==pav38==