Question

usando a fatoração,determine

M.M.C(126,600)
M.M.C(45,60,150)

alguem me ajuda eu nao entendi

Answer 1

$\begin{array}{c|c}\sf126~~600&\sf2\\\sf63~~300&\sf2\\\sf63~~150&\sf2\\\sf63~~75&\sf3\\\sf21~~25&\sf3\\\sf7~~25&\sf5\\\sf7~~5&\sf5\\\sf7~~1&\sf7\\\sf1~~1\end{array}$

$\sf m\cdot m\cdot c(126,600)=2^3\cdot3^2\cdot5^2\cdot7$

$\boxed{\boxed{\sf m\cdot m\cdot c(126,600)=12600}}$

$\begin{array}{c|c}\sf45~~60~~150&\sf2\\\sf45~~30~~75&\sf2\\\sf45~~15~~75&\sf3\\\sf15~~5~~25&\sf3\\\sf5~~5~~25&\sf5\\\sf1~~1~~5&\sf5\\\sf1~~1~~1\end{array}$

$\sf m\cdot m\cdot c(45,60,150)=2^2\cdot3^2\cdot5^2$

$\boxed{\boxed{\sf m\cdot m\cdot c(45,60,150)=900}}$