Question

Calcule o mmc dos números abaixo, marcando a resposta correta: mmc (12, 30) = ( ) 80 ( ) 90 mmc (8, 20) = ( ) 40 ( ) 30

Answer 1

Após resolver os cálculos, concluímos que

$\mathsf{\therefore\boxed{\mathsf{MMC(12,30)=60}}~~e~~\boxed{\mathsf{MMC(8,20)=40}}}$

Decomposição Simultânea:

$\boxed{\begin{array}{c|c}\sf n_1,n_2,n_3\,...&\sf N\acute{u}meros \\ &\sf Primos \\\\\end{array}}$

Resolvendo:

$\sf\begin{array}{c|c}\sf12,30&\sf2\\\sf6,15&\sf2\\\sf3,15&\sf3\\\sf1,5&\sf5\\\sf1,1\end{array}\Longrightarrow 2^2\cdot3\cdot5=60$

$\boxed{\boxed{\mathsf{MMC(12,30)=60}}}$

$\sf\begin{array}{c|c}\sf 8,20&\sf2\\\sf4,10&\sf2\\\sf2,5&\sf2\\\sf1,5&\sf5\\\sf1,1\end{array}\Longrightarrow 2^3\cdot5=40$

$\boxed{\boxed{\mathsf{MMC(8,20)=40}}}$

Portanto, MMC(12,30)=60 e MMC(8,20)=40.

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