3. Determine o MMC pelo método da decomposição simultânea.
a) MMC (12,36)=
b) MMC (15,75)=
C) MMC (21, 7) =
d) MMC (12.24 36)=
e) MMC (15,25,35)=
f) MMC (80.40)=
g) MMC (20,40)=
h) MMC 50,21,2)=
i) MMC (80,90)=
j) MMC (45 65) =
Soluções para a tarefa
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A)
12, 36 | 2
6, 18 | 2
3, 9 | 3
1, 3 | 3
1, 1 | 1
MMC = 2 . 2 . 3 . 3 = 36
B)
15, 75 | 3
5, 25 | 5
1, 5 | 5
1, 1 | 1
MMC = 3 . 5 . 5 = 75
C)
21, 7 | 3
7, 7 | 7
1, 1 | 1
MMC = 3 . 7 = 21
D)
12, 24, 36 | 2
6, 12, 18 | 2
3, 6, 9 | 2
3, 3, 9 | 3
1, 1, 3 | 3
1, 1, 1 | 1
MMC = 2 . 2 . 2 . 3 . 3 = 72
E)
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)
80, 40 | 2
40, 20 | 2
20, 10 | 2
10, 5 | 2
5, 5 | 5
1, 1 | 1
MMC = 2 . 2 . 2 . 2 . 5 = 80
G)
20, 40 | 2
10, 20 | 2
5, 10 | 2
5, 5 | 5
1, 1 | 1
MMC = 2 . 2 . 2 . 5 = 40
H)
50, 21, 2 | 2
25, 21, 1 | 3
25, 7, 1 | 5
5, 7, 1 | 5
1, 7, 1 | 7
1, 1, 1 | 1
MMC = 2 . 3 . 5 . 5 . 7 = 1050
i)
80, 90 | 2
40, 45 | 2
20, 45 | 2
10, 45 | 2
5, 45 | 3
5, 15 | 3
5, 5 | 5
1, 1 | 1
MMC = 2 . 2 . 2 . 2 . 3 . 3 . 5 = 720
J)
45, 65 | 3
15, 65 | 3
5, 65 | 5
1, 13 | 13
1, 1 | 1
MMC = 3 . 3 . 5 . 13 = 585