Question

Sendo A =2³ •3³ •5 •7² e B=2² •3⁴ • 7² •11, determine o MMC (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:

1746360

Explicação passo a passo:

A = 8 * 27 * 5 * 49 = 52920

B = 4 * 81 * 49 * 11 = 174636

MMC (174636, 52920) = 2^3 . 3^4 . 5 . 7^2 . 11 = 1746360.

Vilmar