Question

calcule o mmc
a) mmc (18,42)
b) mmc (25,65)
c) mmc (48,12)
d) mmc (8,36)
e) mmc (15,27)
f) mmc (9,15)

Answer 1

Fatorando em fatores primos:

a) mmc (18,42)
18  42 |2
 9   21 |3
  3    7 |3
  1    7 |7
   1    1

mmc (18,42) = 2x3x3x7 = 126

b) mmc (25,65)
25  65 |5
 5  13 |5
 1  13 |13
  1  1

mmc (25,65) = 5x5x13 = 325

c) mmc (48,12)
48  12 |2
24    6 |2
12    3 |2
  6    3|2
  3    3|3
  1    1

mmc (48,12) = 2x2x2x2x3 = 48

d) mmc (8,36)
8  36 |2
4  18 |2
2    9 |2
1    9 |3
1    3 |3
1    1

mmc (8,36) = 2x2x2x3x3 = 72

e) mmc (15,27)
15  27 |3
 5    9 |3
 5    3 |3
 5    1 |5
 1    1

mmc (15,27) = 3x3x3x5 = 135

f) mmc (9,15)
9  15 |3
3    5 |3
1    5 |5
1    1

mmc (9,15) = 3x3x5 = 45

Answer 2

Resposta:

Explicação passo-a-passo:

a)

18, 42 | 2

9, 21 | 3

3, 7 | 3

1, 7 | 7

1, 1 | 1

MMC = 2 . 3 . 3 . 7 = 126

b)

25, 65 | 5

5, 13 | 5

1, 13 | 13

1, 1 | 1

MMC = 5 . 5 . 13 = 325

c)

48, 12 | 2

24, 6 | 2

12, 3 | 2

6, 3 | 2

3, 3 | 3

1, 1 | 1

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

d)

8, 36 | 2

4, 18 | 2

2, 9 | 2

1, 9 | 3

1, 3 | 3

1, 1 | 1

MMC = 2 . 2 . 2 . 3 . 3 = 72

e)

15, 27 | 3

5, 9 | 3

5, 3 | 3

5, 1 | 5

1, 1 | 1

MMC = 3 . 3 . 3 . 5 = 135

f)

9, 15 | 3

3, 5 | 3

1, 5 | 5

1, 1 | 1

MMC = 3 . 3 . 5 = 45