Question

Calcule o MMC ( mínimo múltiplo comum) dos números abaixo: a) 12 e 9 b) 21 e 15 c) 50 e 8

Answer 1

Resposta: A)

Fatorando 12,9

/2 6,9

/2 3,9

/3 1,3

/3 1,1

2 x 2 x 3 x 3= 4 x 9 = 36

B)

mmc de (21,15)=105

21,15/3

7,5/5

7,1/7

=105

C)

50, 8 | 2

25, 4 | 2

25, 2 | 2

25, 1 | 5

5, 1 | 5

1, 1 | 1

MMC = 2 . 2 . 2 . 5 . 5 = 200

Espero ter ajudado

Answer 2

Cálculo do m.m.c. (12, 9)  

$\begin{tabular}{ c c | l }\\12& 9& 2\\6& 9& 2\\3& 9 &3 \\1& 3 &3 \\1& 1 &\\\end{tabular}$

m.m.c. (12, 9) = 2² × 3² = 4 × 9 = 36

m.m.c. (12, 9) = 36

Cálculo do m.m.c. (21, 15)

$\begin{tabular}{ c c | l }\\21& 15& 3\\7& 5& 5\\7& 1 &7 \\1& 1 &\\\end{tabular}$

m.m.c. (21, 15) = 3 × 5 × 7 = 105

m.m.c. (21, 15) = 105

Cálculo do m.m.c. (50, 8)

$\begin{tabular}{ c c | l }\\50 & 8 & 2\\25 & 4 & 2\\25 & 2 & 2 \\25 & 1 & 5 \\5 & 1 & 5\\1 & 1\\\end{tabular}$

m.m.c. (50, 8) = 2³ × 5² = 8 × 25 = 200

m.m.c. (50, 8) = 200