Question

3) Usando a decomposição simultânea em fatores primos, determine o m.m.c. dos números naturais:
e) 48, 20, 40 e 36
a) 30 e 75
b) 18 e 60
c) 66 e 102
d) 36,54 e 90

Answer 1

e)

48, 20, 40, 36|2

24,10,20,18|2

12,5,10,9|2

6,5,5,9|2

3,5,5,9|3

1,5,5,3|3

1,5,5,1|5

1,1,1,1

$\mathsf{mmc(48, 20, 40 e 36)=720}$

a)

30,75|2

15,75|3

5,25|5

1,5|5

1,1

$\mathsf{mmc(30, 75)=150}$

c)

66,102|2

33,51|3

11,17|11

1,17|17

1,1

$\mathsf{mmc(66, 102)=1122}$

d)

36,54,90|2

18,27,45|2

9,27,45|3

3,9,15|3

1,3,5|3

1,1,5|5

1,1,1

$\mathsf{mmc(36,54, 90)=540}$