Determine o mmc pelo processo de decomposição
15,18
10,12
10,6,15
12,20,3
15,3
10,15
18,30
21,12
35,10
25,80
140,10
8,10,25
3,12,32
2,3,5,10
18,14,36
Respostas
Resposta:
a)
15,18 | 3
5, 6 | 3
5, 2 | 2
5, 1 | 5
1,1
MMC (15,18) = 3².2.5 = 9.3.5 = 90
b)
10,12 | 2
5, 6 | 2
5, 3 | 3
5, 1 | 5
1, 1
MMC (10,12) = 2².3.5 = 4.3.5 = 75
c)
10,6,15 | 2
5, 3,15 | 3
5, 1, 5 | 5
1, 1, 1
MMC (10,6,15) = 2.3.5 = 30
d)
12,20,3 | 2
6,10,3 | 2
3, 5, 3 | 3
1, 5, 1 | 5
1, 1, 1
MMC (12,20,3) = 2².3.5 = 4.3.5 = 60
e)
15,3 | 3
5,1 | 5
1,1
MMC (15,3) = 3.5 = 15
f)
10,15 | 5
2, 3 | 2
1, 3 | 3
1, 1
MMC (10,15) = 5.2.3 = 30
g)
18, 30 | 3
6, 10 | 2
3, 5 | 3
1, 5 | 5
1, 1
MMC (18,30) = 3².2.5 = 9.2.5 = 90
h)
21, 12 | 3
7, 4 | 2
7, 2 | 2
7, 1 | 7
1, 1
MMC (21,12) = 3.2².7 = 3.4.7 = 84
i)
35,10 | 5
7, 2 | 2
7, 1 | 7
1, 1
MMC (35,10) = 5.2.7 = 70
j)
25, 80 | 5
5, 16 | 2
5, 8 | 2
5, 4 | 2
5, 2 | 2
5, 1 | 5
1, 1
MMC (25,80) = 5.2⁴.5 = 5.16.5 = 400
k)
140, 10 | 2
70, 5 | 2
35, 5 | 5
7, 5 | 5
7, 1 | 7
1, 1
MMC (140,10) = 2².5².7 = 4.25.7 = 700
l)
8, 10, 25 | 2
4, 5, 25 | 2
2, 5, 25 | 2
1, 5, 25 | 5
1, 1, 5 | 5
1, 1, 1
MMC (8,10,25) = 2³.5² = 8.25 = 200
m)
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
MMC (3,12,32) = 2^5.3 = 32.3 = 96
n)
2, 3, 5, 10 | 2
1, 3, 5, 5 | 3
1, 1, 5, 5 | 5
1, 1, 1, 1
MMC (2,3,5,10) = 2.3.5 = 30
o)
18, 14, 36 | 2
9, 7, 18 | 2
9, 7, 9 | 3
3, 7, 3 | 3
1, 7, 1 | 7
1, 1, 1
MMC (18,14,36) = 2².3².7 = 4.9.7 = 252