Question

Cuál es el MCM de 680-399-430

Answer 1

Determinaremos el mínimo común múltiplo(m.c.m.) por descomposición simultánea.

Entonces

                                          $\begin{array}{ccccc|c}\blue{\boldsymbol{\sf{680}}}&&\blue{\boldsymbol{\sf{399}}}&&\blue{\boldsymbol{\sf{430}}}&\sf{2}\\\sf{340}&&\sf{399}&&\sf{215}&\sf{2}\\\sf{170}&&\sf{399}&&\sf{215}&\sf{2}\\\sf{85}&&\sf{399}&&\sf{215}&\sf{3}\\\sf{85}&&\sf{133}&&\sf{215}&\sf{5}\\\sf{17}&&\sf{133}&&\sf{43}&\sf{7}\\\sf{17}&&\sf{19}&&\sf{43}&\sf{17}\\\sf{1}&&\sf{19}&&\sf{43}&\sf{19}\\\sf{1}&&\sf{1}&&\sf{43}&\sf{43}\\\sf{1}&&\sf{1}&&\sf{1}&\end{array}$

              $\begin{array}{c}\sf{m.c.m.(680, 399, 430)=2\times2\times2\times3\times5\times7\times17\times19\times43}\\\\\mathsf{m.c.m.(680, 399, 430)=2^{3}\times3^{}\times5^{}\times7^{}\times17^{}\times19^{}\times43^{}}\\\\\boxed{\boxed{\boldsymbol{\mathsf{m.c.m.(680, 399, 430)=11666760}}}}\end{array}$

Rpta. El mínimo común múltiplo de 680, 399 y 430 es 11666760.

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