- Utilizando a decomposição em fatores primos, calcule:
a) MMC (150, 300, 375) =
b) MMC (120, 132, 20) =
c) MMC (12, 18, 24) =
d) MDC (32, 64, 120) =
e) MDC (28, 70, 84) =
f) MDC ( 108, 72, 144) =
Soluções para a tarefa
Olá....
Decompondo em Fatores Primos:
Calcule:
a) MMC (150, 300, 375)
150, 300, 375 | 2
75, 150, 375 | 2
75, 75, 375 | 3
25, 25, 125 | 5
5, 5, 25 | 5
1, 1, 5 | 5
1, 1, 1
MMC = 2 . 2 . 3 . 5 . 5 . 5 = 1500
MMC = 1500
b) MMC (120, 132, 20)
120, 132, 20 | 2
60, 66, 10 | 2
30, 33, 5 | 2
15, 33, 5 | 3
5, 11, 5 | 5
1, 11, 1 | 11
1, 1, 1
MMC = 2 . 2 . 2 . 3 . 5 . 11 = 1320
MMC = 1320
c) MMC (12, 18, 24)
12, 18, 24 | 2
6, 9, 12 | 2
3, 9, 6 | 2
3, 9, 3 | 3
1, 3, 1 | 3
1, 1, 1
MMC = 2 . 2 . 2 . 3 . 3 = 72
MMC = 72
d) MDC (32, 64, 120)
32, 64, 120 | 2
16, 32, 60 | 2
8, 16, 30 | 2
4, 8, 15 | 2
2, 4, 15 | 2
1, 2, 15 | 2
1, 1, 15 | 3
1, 1, 5 | 5
1, 1, 1
MDC = 2 . 2 .2 = 8
MDC = 8
e) MDC (28, 70, 84)
28, 70, 84 | 2
14, 35, 42 | 2
7, 35, 21 | 3
7, 35, 7 | 5
7, 7, 7 | 7
1, 1, 1
MDC = 2 . 7 = 14
MDC = 14
f) MDC ( 108, 72, 144)
108, 72, 144 | 2
54, 36, 72 | 2
27, 18, 36 | 2
27, 9, 18 | 2
27, 9, 9 | 3
9, 3, 3 | 3
3, 1, 1 | 3
1, 1, 1
MDC = 2 . 2 . 3 . 3 = 36
MDC = 36
Espero ter colaborado.