Utilizando o método que preferir, encontre o mmc dos números a seguir:
A) mmc(15,18)=
B) mmc(6,8,10)=
C) mmc(12,24,48)=
D) mmc(72,20)=
E) mmc(21,18,32)=
F) mmc(25,50)=
G) mmc(60,40)=
H) mmc(9,12,15)=
I) mmc(35,55)=
Respostas
Resposta:
A) mmc (15,18) = 90
15,18| 2
15,9 | 3
5 ,3| 3
5 ,1 | 5
1 ,1 |
2×3×3×5 = 90
B) mmc(6,8,10) = 120
6,8,10| 2
3,4,5 | 2
3,2,5 | 2
3, 1, 5| 3
1, 1, 5| 5
1, 1, 1 |
2×2×2×3×5 = 120
C) mmc(12,24,48)= 48
12,24,48| 2
6 , 12,24| 2
3 , 6 , 12| 2
3 , 3 , 6 | 2
3 , 3 , 3 | 3
1 , 1 , 1 |
2×2×2×2×3 = 48
D) mmc(72,20)= 360
72,20| 2
36,10 | 2
18 , 5 | 2
9 , 5 | 3
3 , 5 | 3
1 , 5 | 5
1 , 1 |
2×2×2×3×3×5 = 360
E) mmc(21,18,32)= 2.016
21,18,32| 2
21, 9 ,16| 2
21, 9 , 8| 2
21, 9 , 4| 2
21, 9 ,2 | 2
21, 9 , 1 | 3
7 , 3 , 1 | 3
7 , 1 , 1 | 7
1 , 1 , 1 |
2⁵ × 3² × 7 = 2.016
F) mmc(25,50)= 50
25,50| 2
25,25| 5
5 , 5 | 5
1 , 1 |
2×5² = 50
G) mmc(60,40)= 360
60,40| 2
30,20| 2
15, 10 | 2
15, 5 | 3
3 , 5 | 3
1 , 5 | 5
1 , 1 |
2³ × 3² × 5 = 360
H) mmc(9,12,15)= 180
9,12,15| 2
9, 6,15| 2
9 ,3,15| 3
3, 1 ,5 | 3
1 , 1 ,5 | 5
1 , 1 , 1 |
2² × 3² × 5 = 180
I) mmc(35,55)= 385
35,55| 5
7 , 11 | 7
1 , 11 | 11
1 , 1 |
5×7×11 = 385
Resposta:
A)90
B)120
C)48
D)360
E)2016
F)50
G)120
H)180
I)385
Explicação passo a passo:
A:
15,18l2
15,9l3
5,3l3
5,1l5
1,1
2.3.3.5
2.3².5
2.9.5
90
B:
6,8,10l2
3,4,5l2
3,2,5l2
3,1,5l3
1,1,5l5
1,1,1
2.2.2.3.5
2³.3.5
8.3.5
120
C:
12,24,48l2
6,12,24l2
3,6,12l2
3,3,6l2
3,3,3l3
1,1,1
2.2.2.2.3
2⁴.3
16.3
48
D:
72,20l2
36,10l2
18,5l2
9,5l3
3,5l3
1,5l5
1,1
2.2.2.3.3.5
2³.3².5
8.9.5
360
E:
21,18,32l2
21,9,16l2
21,9,8l2
21,9,4l2
21,9,2l2
21,9,1l3
7,3,1l3
7,1,1l7
1,1,1
2.2.2.2.2.3.3.7
2⁵.3².7
32.9.7
2016
F:
25,50l2
25,25l5
5,5l5
1,1
2.5.5
2.5²
2.25
50
G:
60,40l2
30,20l2
15,10l2
15,5l3
5,5l5
1,1
2.2.2.3.5
2³.3.5
8.3.5
120
H:
9,12,15l2
9,6,15l2
9,3,15l3
3,1,5l3
1,1,5l5
2.2.3.3.5
2².3².5
4.9.5
180
I:
35,55l5
7,11l7
1,11l11
1,1
5.7.11
385