Question

MMC( 15,20)
MMC(12,20
MMC (8,10)
MMC (6,15)​

Answer 1

O mínimo múltiplo comum - (m.m.c) nada mais é do que a fatoração entre números primos. Veja abaixo.

 

a)

$\large\begin{array}{r|l}15{,}20&2\\15{,}10&2\\15{,}5&3\\5{,}5&5\\1{,}1&1\end{array}$

b)

$\large\begin{array}{r|l}12{,}20&2\\6{,}10&2\\3{,}5&3\\1{,}5&5\\1{,}1&1\end{array}$

c)

$\large\begin{array}{r|l}8{,}10&2\\4{,}5&2\\2{,}5&2\\1{,}5&5\\1{,}1&1\end{array}$

d)

$\large\begin{array}{r|l}6{,}15&2\\3{,}15&3\\1{,}5&5\\1{,}1&1\end{array}$

Agora devemos multiplicar todos os fatores primos.

$\large\begin{array}{lr} \sf MMC( 15,20) = 2*2*3*5*1 = \underline{\boxed{\red{\sf 60}}}\\\\\sf MMC( 12,20)= 2*2*3*5*1 = \underline{\boxed{\red{\sf 60}}} \\\\\sf MMC( 8,10)= 2*2*2*5*1 = \underline{\boxed{\red{\sf 40}}}\\\\\sf MMC( 6,15)= 2*3*5*1 = \underline{\boxed{\red{\sf 30}}} \end{array}$

Espero ter ajudado.

Bons estudos.

• Att. FireClassis.

Answer 2

Olá

15, 20 | 2

15, 10 | 2

15, 5 | 3

5, 5 | 5

1, 1 | 1

MMC = 2 . 2 . 3 . 5 = 60

12, 20 | 2

6, 10 | 2

3, 5 | 3

1, 5 | 5

1, 1 | 1

MMC = 2 . 2 . 3 . 5 = 60

8, 10 | 2

4, 5 | 2

2, 5 | 2

1, 5 | 5

1, 1 | 1

MMC = 2 . 2 . 2 . 5 = 40

6, 15 | 2

3, 15 | 3

1, 5 | 5

1, 1 | 1

MMC = 2 . 3 . 5 = 30

${\large\boxed{\boxed{  { \large \tt BONS \: \: ESTUDOS \: MEU \: ANJO \:<3 }}}}$