【Rpta.】El mínimo común múltiplo de 122, 140 y 180 es 76860
[tex]\green{{\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedimiento}}{\hspace{50pt}\above 1.2pt}}[/tex]
Determinaremos el mínimo común múltiplo(m.c.m.) por descomposición simultánea.
Este método consiste en extraer factores comunes y no comunes para luego multiplicarlos.
[tex]\begin{array}{ccccc|c}\blue{\boldsymbol{122}}&&\blue{\boldsymbol{140}}&&\blue{\boldsymbol{180}}&2\\61&&70&&90&2\\61&&35&&45&3\\61&&35&&15&3\\61&&35&&5&5\\61&&7&&1&7\\61&&1&&1&61\\1&&1&&1&\end{array}[/tex]
[tex]\begin{array}{c}\mathsf{m.c.m.(122, 140, 180)=2\times2\times3\times3\times5\times7\times61}\\\\\mathsf{m.c.m.(122, 140, 180)=2^{2}\times3^{2}\times5^{}\times7^{}\times61^{}}\\\\\boxed{\boxed{\boldsymbol{\mathsf{m.c.m.(122, 140, 180)=76860}}}}\end{array}[/tex]
✠ Tareas similares
➫ https://brainly.lat/tarea/9661881
➫ https://brainly.lat/tarea/59384451
➫ https://brainly.lat/tarea/59384351
➫ https://brainly.lat/tarea/59384461
[tex]\boxed{\sf{{R}}\quad\raisebox{10pt}{$\sf{\red{O}}$}\!\!\!\!\raisebox{-10pt}{$\sf{\red{O}}$}\quad\raisebox{15pt}{$\sf{{G}}$}\!\!\!\!\raisebox{-15pt}{$\sf{{G}}$}\quad\raisebox{15pt}{$\sf{\red{H}}$}\!\!\!\!\raisebox{-15pt}{$\sf{\red{H}}$}\quad\raisebox{10pt}{$\sf{{E}}$}\!\!\!\!\raisebox{-10pt}{$\sf{{E}}$}\quad\sf{\red{R}}}\hspace{-64.5pt}\rule{10pt}{.2ex}\:\rule{3pt}{1ex}\rule{3pt}{1.5ex}\rule{3pt}{2ex}\rule{3pt}{1.5ex}\rule{3pt}{1ex}\:\rule{10pt}{.2ex}[/tex]
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【Rpta.】El mínimo común múltiplo de 122, 140 y 180 es 76860
[tex]\green{{\hspace{50 pt}\above 1.2pt}\boldsymbol{\mathsf{Procedimiento}}{\hspace{50pt}\above 1.2pt}}[/tex]
Determinaremos el mínimo común múltiplo(m.c.m.) por descomposición simultánea.
Este método consiste en extraer factores comunes y no comunes para luego multiplicarlos.
[tex]\begin{array}{ccccc|c}\blue{\boldsymbol{122}}&&\blue{\boldsymbol{140}}&&\blue{\boldsymbol{180}}&2\\61&&70&&90&2\\61&&35&&45&3\\61&&35&&15&3\\61&&35&&5&5\\61&&7&&1&7\\61&&1&&1&61\\1&&1&&1&\end{array}[/tex]
[tex]\begin{array}{c}\mathsf{m.c.m.(122, 140, 180)=2\times2\times3\times3\times5\times7\times61}\\\\\mathsf{m.c.m.(122, 140, 180)=2^{2}\times3^{2}\times5^{}\times7^{}\times61^{}}\\\\\boxed{\boxed{\boldsymbol{\mathsf{m.c.m.(122, 140, 180)=76860}}}}\end{array}[/tex]
✠ Tareas similares
➫ https://brainly.lat/tarea/9661881
➫ https://brainly.lat/tarea/59384451
➫ https://brainly.lat/tarea/59384351
➫ https://brainly.lat/tarea/59384461
[tex]\boxed{\sf{{R}}\quad\raisebox{10pt}{$\sf{\red{O}}$}\!\!\!\!\raisebox{-10pt}{$\sf{\red{O}}$}\quad\raisebox{15pt}{$\sf{{G}}$}\!\!\!\!\raisebox{-15pt}{$\sf{{G}}$}\quad\raisebox{15pt}{$\sf{\red{H}}$}\!\!\!\!\raisebox{-15pt}{$\sf{\red{H}}$}\quad\raisebox{10pt}{$\sf{{E}}$}\!\!\!\!\raisebox{-10pt}{$\sf{{E}}$}\quad\sf{\red{R}}}\hspace{-64.5pt}\rule{10pt}{.2ex}\:\rule{3pt}{1ex}\rule{3pt}{1.5ex}\rule{3pt}{2ex}\rule{3pt}{1.5ex}\rule{3pt}{1ex}\:\rule{10pt}{.2ex}[/tex]