Question

determine
a)m.m.c(35,10)
b)m.m.c(15,18)
c)m.m.c(120,80)
d)m.m.c(14,45,6)
e)m.m.c(2,10,15,45)
f)m.m.c(8,36,28,78)
g)m.m.c(3,12,32)
h)m.m.c(10,20,30)​

Answer 1

Resposta:

a) 70

b) 90

c) 240

d) 630

e) 90

f) 655

g) 96

h) 6

Explicação passo a passo:

M.M.C é menor múltiplo comum, onde fatoramos por números primos:

A)

35, 10 2

35, 5 5

7, 1 7

1, 1

2 . 5 . 7 = 70

B)

15, 18 2

15, 9 3

5, 3 3

5, 1 5

1, 1

2 . 3 . 3 . 5 = 90

C)

120, 80 2

60, 40 2

30, 20 2

15, 10 2

15, 5 3

5, 5 5

1, 1

2 . 2 . 2 . 2 . 3 . 5 = 240

D)

14, 45, 6 2

7, 45, 3 3

7, 15, 1 3

7, 5, 1 5

7, 1, 1 7

1, 1, 1

2 . 3 . 3 . 5 . 7 = 630

E)

2, 10, 15, 45 2

1, 5, 15, 45 3

1, 5, 5, 15 3

1, 5, 5, 5 5

1, 1, 1, 1

2 . 3 . 3 . 5 = 90

F)

8, 36, 28, 78 2

4, 18, 14, 39 2

2, 9, 7, 39 2

1, 9, 7, 39 3

1, 3, 7, 13 3

1, 1, 7, 13 7

1, 1, 1, 13 13

1, 1, 1, 1

2 . 2 . 2 . 3 . 3 . 7 . 13 = 655

G)

3, 12, 32 2

3, 6, 16 2

3, 3, 8 2

3, 3, 4 2

3, 3, 2 2

3, 3, 1 3

1, 1, 1

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

H)

10, 20, 30 2

5, 10, 15 2

5, 5, 15 3

5, 5, 5 5

1, 1, 1

2 . 2 . 3 . 5 = 60