Calcule
a) mmc (50,75)
b) mmc (60,24)
c) mmc (28,48)
d) mmc (10,12,45)
e) mmc (6,8,12,15)
f) mmc (12,18,36,40)
Soluções para a tarefa
25, 75/3
25, 25/5
5, 5/5
1. 1= 2.3.5.5 = 150
b) 60, 24/2
30, 12/2
15, 6/2
15, 3/3
5. 1/5
1, 1/= 2.2.2.3.5. = 120
c) 28, 48/2
14, 24/2
7, 12/2
7. 6/2
7, 3/3
7, 1/7
1, 1/= 2.2.2.2.3.7 = 336
d) 10, 12, 45/2
5, 6, 45/2
5, 3, 45/3
5, 1, 15/3
5, 1, 5/5
1, 1, 1/= 2.2.3.3.5 = 180
e) 6, 8, 12, 15/2
3, 4, 6, 15/2
3, 2, 3, 15/2
3, 1, 3, 15/3
1, 1, 1, 5/5
1, 1, 1, 1/= 3.3.3.4.5 = 120
f) 12, 18, 36, 40/2
6, 9, 18, 20/2
3, 9, 9, 10/2
3, 9, 9, 5/3
1, 3, 3, 5/3
1, 1, 1, 5/5
1, 1, 1, 1/ = 2.2.2.3.3.5 = 360
Para encontrar o MMC temos que fatorar os números simultâneamente e depois multiplicar os fatores.
a)mmc (50,75)
50 75 | 2
25 75| 3
25 25 | 5
5 5 | 5
1 1
5² . 3.2 = 150
b)mmc (60,24)
60 24 | 2
30 12 | 2
15 6 | 2
15 3 | 3
5 1 | 5
1 1
2³ . 3. 5 = 120
c)mmc (28,48)
28 48 | 2
14 24 | 2
7 12 | 2
7 6 | 2
7 3 | 7
1 3 | 3
1 1
2^4 . 7. 3 = 336
d)mmc (10,12,45)
10 12 45 | 2
5 6 45 | 2
5 3 45 | 3
5 1 15 | 3
5 1 5 | 5
1 1 1
3² . 2² . 5 = 180
e) (6,8,12,15)
6 8 12 15| 2
3 4 6 15| 2
3 2 3 15| 2
3 1 3 15| 3
1 1 1 5| 5
1 1 1 1
2³ . 3 . 5 = 120
f) mmc (12,18,36,40)
12 18 36 40 | 2
6 9 18 20 | 2
3 9 9 10 | 2
3 9 9 5 | 3
1 3 3 5 | 3
1 1 1 5 | 5
1 1 1 1
2³ . 3² . 5 = 360
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