Question

Sendo A = 2³ x 3³ x 5 x 7 e B = 2² x 3⁴ x 7² x 11, determine o m.m.c (A,B).

Answer 1

A = 2³ × 3³ × 5 × 7²

A = 8 × 27 × 5 × 49

A = 52920

B = 2² × 3⁴ × 7² × 11

B = 4 × 81 × 49 × 11

B = 174636

52920, 174636 | 2

26460, 87318 | 2

13230, 43659 | 2

6615, 43659 | 3

2205, 14553 | 3

735, 4851 | 3

245, 1617 | 3

245, 539 | 5

49, 539 | 7

7, 77 | 7

1, 11 | 11

1, 1 | 1

MMC = 2 × 2 × 2 × 3 × 3 × 3 × 3 × 5 × 7 × 7 × 11 = 1746360

Answer 2

Resposta:

m.m.c (A,B). = 2³ × 3⁴ × 5 × 7² ,× 11

Explicação passo a passo: