Question

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

Answer 1

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