Calcule o MMC entre os números abaixo A) 40 e 30 B) 20, 45 e 21 C) 36, 28 e 34 D) 100 e 54
Soluções para a tarefa
Fatorando, simultaneamente os números, tem-se:
a) 40,30/2 = 20,15
20,15/2 = 10,15
10,15/2 = 5,15
5,15/3 = 5,3
5,3/3 = 5,1
5,1/5 = 1,1
Multiplicando os divisores (2.2.2.3.3.5), encontra-se o mmc (360)
b) 20,45,21/2 = 10,45,21
10,45,21/2 = 5,45,21
5,45,21/3 = 5,15,7
5,15,7/3 = 5,5,7
5,5,7/5 = 1,1,7
1,1,7/7 = 1,1,1
mmc= 2.2.3.3.5.7; mmc= 1260
c) 36,28,34/2 = 18,14,17
18,14,17/2 = 9,7,17
9,7,17/3 = 3,7,17
3,7,17/3 = 1,7,17
1,7,17/7 = 1,1,17
1,1,17/17 = 1,1,1
mmc= 2.2.3.3.7.17; mmc= 4284
d) 100,54/2 = 50,27
50,27/2 = 25,27
25,27/3 = 25,9
25,9/3 = 25,3
25,3/3 = 25,1
25,1/5 = 5,1
5,1/5= 1,1
mmc= 2.2.3.3.3.5.5; mmc= 2700
Explicação passo-a-passo:
40,30/2
20,15/2
10,15/2
5,15/3
5,5/5
1,1
mmc= 2³ * 3 * 5 = 8 * 3 * 5 = 120 >>>>resposta
b
20,45,21/2
10,45,21/2
5,45,21/3
5,15,7/3
5,5,7/5
1,1,7/7
1,1,1
mmc = 2² * 3² * 5 * 7 =4 * 9 * 5 * 7 =1260 >>>>resposta
c
36,28,34/2
18,14,17/2
9,7,17/3
3,7,17/3
1,7,17/7
1,1,17/17
1,1,1
mmc = 2² * 3² * 7 * 17 = 4 * 9 * 7 * 17 = 4284 >>>>> resposta
d
100,54/2
50,27/2
25,27/3
25,9/3
25,3/3
25,1/5
5,1/5
1,1
mmc = 2² * 3³ * 5² = 4 * 27 * 25 = 2 700 >>>>>resposta