Question

1) Usando a decomposição simultânea em fatores primos, determine o m.m.c..
a) m.m.c. (40, 85) d) m.m.c. (15, 90)
b) m.m.c. (56, 100) e) m.m.c. (16, 27, 30)
c) m.m.c. (24, 10, 60, 50) f) m.m.c. (80, 25)

Answer 1

a)

40, 85 | 2

20, 85 | 2

10, 85 | 2

5, 85 | 5

1, 17 | 17

1, 1

m.m.c >> 2³ × 5 × 17= 680

b)

56, 100 | 2

28, 50 | 2

14, 25 | 2

7, 25 | 5

7, 5 | 5

7, 1 | 7

1, 1

m.m.c >> 2³ × 5² × 7= 1.400

c)

24, 10, 60, 50 | 2

12, 5, 30, 25 | 2

6, 5, 15, 25 | 2

3, 5, 15, 25 | 3

1, 5, 5, 25 | 5

1, 1, 1, 5 | 5

1, 1, 1, 1

m.m.c >> 2³ × 3 × 5²= 600

d)

15, 90 | 2

15, 45 | 3

5, 15 | 3

5, 5 | 5

1, 1

m.m.c >> 2 × 3² × 5= 90

e)

16, 27, 30 | 2

8, 27, 10 | 2

4, 27, 5 | 2

2, 27, 5 | 2

1, 27, 5 | 3

1, 9, 5 | 3

1, 3, 5 | 3

1, 1, 5 | 5

1, 1, 1

m.m.c >> 2⁴ × 3³ × 5= 2.160

f)

80, 25 | 2

40, 25 | 2

10, 25 | 2

5, 25 | 5

1, 5 | 5

1, 1

m.m.c >> 2³ × 5²= 200