Question

Pelo processo da decomposição simultanea em fatores primos determine o minimo multiplo comum dos números abaixo: a) 20, 40 , 50 b) 12, 30, 45 c) 9, 12 d) 45 , 54, 72

Answer 1

a) (20,40,50)/2

(10,20,25)/2

(5,10,25)/2

(5,5,25)/5

(1,1,5)/5

(1,1,1)

MMC = 2•2•2•5•5 = 200

b) (12,30,45)/2

(6,15,45)/2

(3,15,45)/3

(1,5,15)/3

(1,5,5)/5

1,1,1

MMC = 2•2•3•3•5 = 180

c) (9,12)/2

(9,6)/2

(9,3)/3

(3,1)/3

(1,1)

MMC = 2•2•3•3 = 36

d) (45,54,72)/2

(45,27,36)/2

(45,27,18)/2

(45,27,9)/3

(15,9,3)/3

(5,3,1)/3

(5,1,1)/5

(1,1,1)

MMC = 2•2•2•3•3•3•5 = 1080