Question

Calcule o M.M.C de:
15,18
21,12
3,12,32
8,10,25
2,3,5,10
18,24,36
4,6,9,15
2,10,15,45
8,36,28
45,96,10,180
20,30,48,120
5,8,20
4,8,12,16
12,24,144
Me ajudem eu agradeço.

Answer 1

15,18 |2
15, 9 |3
5, 3   |3
5,1    |5
1,1

(m.m.c 15,18) 2 x 3 x 3 x 5 = 90

12,21 l3
4,7     l2
2,7     l2
1,7     l7
1,1  

(m.m.c 12,21) 3x2x2x7=84

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

(m.m.c 3,12,32) 2x2x2x2x2x3 =96

8,10,25 l 2
4,5,25   l 2
2,5,25   l 2
1,5,25   l 5
1,1,5     l 5
1,1,1

(m.m.c 8,10,25) = 2x2x2x5x5 = 200

2,3,5,10 l 2
1,3,5,5   l 3
1,1,5,5   l 5
1,1,1,1 

(m.m.c 2,3,5,10) = 2x3x5 = 30

18,24,36 l 2
9,12,18   l 2
9,6,9       l 2
9,3,9      l 3
3,1,3      l 3
1,1,1   

(m.m.c 18,24,36) = 2x2x2x3x3 = 72

4,6,9,15 l 2
2,3,9,15 l 2
1,3,9,15 l 3
1,1,3,5  l 3
1,1,1,5  l 5
1,1,1,1

(m.m.c 4,6,9,15) = 2x2x3x3x5 = 180

2,10,15,45 l 2
1,5,15, 45  l 3
1,5,5,15     l 3
1,5,5,5       l 5
1,1,1,1

(m.m.c 2,10,15,45)= 2x3x3x5 = 90

8,36,28 l 2
4,18,14 l 2
2,9,7     l 2 
1,9,7     l 3
1,3,7     l 7
1,1, 1

(m.m.c 8,36,28) = 2x2x2x3x7 = 168


45,96,10,180 | 2
45,48,5, 90 | 2
45,24,5, 45 | 2
45,12,5,45 | 2
45,6,5,45 | 2
45,3,5,45 | 3
15,1,5,15 | 3 
5,1,5,5     | 5

(m.m.c 45,96,10,180) = 2x2x2x2x2x3x3x5 = 1440

20,30,48,120 l 2 
10,15, 24,60 l 2
5,15,12,30   l 2
5,15,6,15     l 2
5,15,3,15     l 3
5,5,1,5        l 5
1,1,1,1

(m.m.c 20,30,48,120) = 2x2x2x2x3x5 = 240

5,8,20 l 2
5,4,10 l 2
5,2,5  l 2
5,1,5  l 5
1,1,1

(m.m.c 5,8,20) = 2x2x2x5 = 40

4,8,12,16 l 2 
2,4,6, 8 l 2
1,2,3,4  l 2
1,1,3,2  l 2
1,1,3,1  l 3 
1,1,1,1

(m.m.c 4,8,12,16) = 2x2x2x2x3 = 48

12,24,144 l 2
6,12,72    l 2
3,6,36      l 2
3,3,18      l 2
3,3,9       l 3
1,1,3       l 3
1,1,1

(m.m.c 12,24,144) = 2x2x2x2x3x3 = 144