95.2k views
12 votes
Encuentra el MCM de 12 y 24


1 Answer

3 votes

【Rep.】The least common multiple of 12 and 24 is 24.


\red{ {\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedure}}{\hspace{50pt}\above 1.2pt}}

To obtain the least common multiple (lcm) we must do it by simultaneous decomposition.

This method consists of extracting the common and uncommon prime factors, then


\large\displaystyle\text{$\begin{gathered}\sf \left.\begin{matrix} \blue{12 \ \ \ 24}\\ \ 6 \ \ \ 12\\ \ 3 \ \ \ \ 6\\ \ 3 \ \ \ \ 3\\ \ 1 \ \ \ \ 1 \end{matrix}\right|\begin{matrix} 2\\ 2\\ 2\\ 3\\ \: \end{matrix} \end{gathered}$}


\sf{L.c.m.(12,24)=2*2*2*3}


\sf{L.c.m.(12,24)=2^(3)*3 }


\boxed{\boxed{\sf{L.c.m.(12,24)=24}}}

{ Pisces04 }

User Mtk
by
3.6k points