Question

Mmc e mdc de 36 54 e 90
Mmc e mdc de 20 36 40 48
Mmc e mdc de 14 28 63
Mmc e mdc de 48 96 120
Mmc e Mac de 78 90

Answer 1

Olá...

MMC são fatores comuns e não comuns de maiores expoentes.

MDC são fatores comuns de menores expoentes.

Calcule o MMC e MDC de:

a) (36, 54, 90)

36, 54, 90 | 2

18, 27, 45 | 2

9, 27, 45 | 3

3, 9, 15 | 3

1, 3, 5 | 3

1, 1, 5 | 5

1, 1, 1

MMC = 2 . 2 . 3 . 3 . 3 . 5 = 540

MMC = 540

MDC = 2 . 3 . 3 = 18

MDC = 18

b) (20, 36, 40, 48)

20, 36, 40, 48 | 2

10, 18, 20, 24 | 2

5, 9, 10, 12 | 2

5, 9, 5, 6 | 2

5, 9, 5, 3 | 3

5, 3, 5, 1 | 3

5, 1, 5, 1 | 5

1, 1, 1, 1

MMC = 2 . 2 . 2 . 2 . 3 . 3 . 5 = 720

MMC = 720

MDC = 2 . 2 = 4

MDC = 4

c) (14, 28, 63)

14, 28, 63 | 2

7, 14, 63 | 2

7, 7, 63 | 3

7, 7, 21 | 3

7, 7, 7 | 7

1, 1, 1

MMC = 2 . 2 . 3 . 3 . 7 = 252

MMC = 252

MDC  = 7

d) (48, 96, 120)

48, 96, 120 | 2

24, 48, 60 | 2

12, 24, 30 | 2

6, 12, 15 | 2

3, 6, 15 | 2

3, 3, 15 | 3

1, 1, 5 | 5

1, 1, 1

MMC = 2 . 2 . 2 . 2 . 2 . 3 . 5 = 480

MMC = 480

MDC = 2 . 2 . 2 . 3 = 24

MDC = 24

e) (78, 90)

78, 90 | 2

39, 45 | 3

13, 15 | 3

13, 5 | 5

13, 1 | 13

1, 1

MMC = 2 . 3 . 3 . 5 . 13 = 1170

MMC = 1170

MDC = 2 . 3 = 6

MDC = 6

Espero ter ajudado.