Question

Determine o M.M.C dos números abaixo

A) m.m.c (4,6,12)
B) m.m.c (14,25,36)
C) m.m.c ( 9 , 45, 64)
D) m.m.c ( 20 , 35 , 45)

Answer 1

Oi...

MMC são fatores comuns e não comuns de maiores expoentes.

MMC de:

a) (4, 6, 12)

4, 6, 12 | 2

2, 3, 6 | 2

1, 3, 3 | 3

1, 1, 1

MMC = 2 . 2 . 3 = 12

MMC = 12

b) (14, 25, 36)

14, 25, 36 | 2

7, 25, 18 | 2

7, 25, 9 | 3

7, 25, 3 | 3

7, 25, 1 | 5

7, 5, 1 | 5

7, 1, 1 | 7

1, 1, 1

MMC = 2 . 2 . 3 . 3 . 5 . 5 . 7 = 6300

MMC = 6300

c) (9, 45, 64)

9, 45, 64 | 2

9, 45, 32 | 2

9, 45, 16 | 2

9, 45, 8 | 2

9, 45, 4 | 2

9, 45, 2 | 2

9, 45, 1 | 3

3, 15, 1 | 3

1, 5, 1 | 5

1, 1, 1

MMC = 2 . 2 . 2 . 2 . 2 . 2 . 3 . 3 . 5 = 2880

MMC = 2880

d) (20, 35, 45)

20, 35, 45 | 2

10, 35, 45 | 2

5, 35, 45 | 3

5, 35, 15 | 3

5, 35, 5 | 5

1, 7, 1 | 7

1, 1, 1 | 1

MMC = 2 . 2 . 3 . 3 . 5 . 7 = 1260

MMC = 1260

Espero ter ajudado.