Question

Determine o m.m.c. pelo processo de decomposição simultânea

a) m.m.c. (15,18)

b) m.m.c. (10,12)

c) m.m.c. (10, 6, 15)

d) m.m.c. (12, 20, 3)

e) m.m.c. (2, 3, 4)

f) m.m.c. (4, 6, 8)

g) m.m.c. (6, 8, 12)

h) m.m.c. (6, 8, 10, 12)

i) m.m.c. (4, 8, 12, 16)

j) m.m.c. (4, 5, 10, 20)​

Answer 1

Olá!!!

MMC: decompor os números, com os números primos, que divide os números.

Decomposição simultânea: decompor os números no mesmo tempo.

a) 15, 18 | 2

15, 9 | 3

5, 3 | 3

5, 1 | 5

1, 1 | 1

MMC = 2 . 3 . 3 . 5 = 90

b) 10, 12 | 2

5, 6 | 2

5, 3 | 3

5, 1 | 5

1, 1 | 1

MMC = 2 . 2 . 3 . 5 = 60

c) 10, 6, 15 | 2

5, 3, 15 | 3

5, 1, 5 | 5

1, 1, 1 | 1

MMC = 2 . 3 . 5 = 30

d) 12, 20, 3 | 2

6, 10, 3 | 2

3, 5, 3 | 3

1, 5, 1 | 5

1, 1, 1 | 1

MMC = 2 . 2 . 3 . 5 = 60

e) 2, 3, 4 | 2

1, 3, 2 | 2

1, 3, 1 | 3

1, 1, 1 | 1

MMC = 2 . 2 . 3 = 12

f) 4, 6, 8 | 2

2, 3, 4 | 2

1, 3, 2 | 2

1, 3, 1 | 3

1, 1, 1 | 1

MMC = 2 . 2 . 2 . 3 = 24

g) 6, 8, 12 | 2

3, 4, 6 | 2

3, 2, 3 | 2

3, 1, 3 | 3

1, 1, 1 | 1

MMC = 2 . 2 . 2 . 3 = 24

h) 6, 8, 10, 12 | 2

3, 4, 5, 6 | 2

3, 2, 5, 3 | 2

3, 1, 5, 3 | 3

1, 1, 5, 1 | 5

1, 1, 1, 1 | 1

MMC = 2 . 2 . 2 . 3 . 5 = 120

i) 4, 8, 12, 16 | 2

2, 4, 6, 8 | 2

1, 2, 3, 4 | 2

1, 1, 3, 2 | 2

1, 1, 3, 1 | 3

1, 1, 1, 1 | 1

MMC = 2 . 2 . 2 . 2 . 3 = 48

j) 4, 5, 10, 20 | 2

2, 5, 5, 10 | 2

1, 5, 5, 5 | 5

1, 1, 1, 1 | 1

MMC = 2 . 2 . 5 = 20