Question

3) Aplicando a decomposição simultânea em fatores primos , determine o mmc entre os números :
a) 25 e 40 _____________ c) 32 e 48 ________________ e) 15, 25 e 35 ________________
b) 22 e 66 _______________ d) 60 , 75 , 100 ______________ f) 14 , 21 , 28 ___________________

Answer 1

Resposta:

a) 25 e 40

25, 40 | 2

25, 20 | 2

25, 10 | 2

25, 5 | 5

5, 1 | 5

1, 1 | 1

MMC = 2 . 2 . 2 . 5 . 5 = 200

b) 22 e 66

22, 60 | 2

11, 30 | 2

11, 15 | 3

11, 5 | 5

11, 1 | 11

1, 1 | 1

MMC = 2 . 2 . 3 . 5 . 11 = 660

c) 32 e 48

32, 48 | 2

16, 24 | 2

8, 12 | 2

4, 6 | 2

2, 3 | 2

1, 3 | 3

1, 1 | 1

MMC = 2 . 2 . 2 . 2 . 2 . 3 = 96

d) 60 , 75 , 100

60, 75, 100 | 2

30, 75, 50 | 2

15, 75, 25 | 3

5, 25, 25 | 5

1, 5, 5 | 5

1, 1, 1 | 1

MMC = 2 . 2 . 3 . 5 . 5 = 300

e) 15, 25 e 35

15, 25, 35 | 3

5, 25, 35 | 5

1, 5, 7 | 5

1, 1, 7 | 7

1, 1, 1 | 1

MMC = 3 . 5 . 5 . 7 = 525

f) 14 , 21 , 28

14, 21, 28 | 2

7, 21, 14 | 2

7, 21, 7 | 3

7, 7, 7 | 7

1, 1, 1 | 1

MMC = 2 . 2 . 3 . 7 = 84

Explicação passo-a-passo: