✅ MCD
Determinaremos el máximo común divisor(m.c.d.) por descomposición simultánea.
Entonces
[tex]\begin{array}{ccccc|c}\blue{\boldsymbol{18}}&&\blue{\boldsymbol{30}}&&\blue{\boldsymbol{62}}&2\\9&&15&&31&\end{array}[/tex]
[tex]\begin{array}{c}\boxed{\boxed{\boldsymbol{\mathsf{m.c.d.(18, 30, 62)=2}}}}\end{array}[/tex]
Rpta. El máximo común divisor de 18, 30 y 62 es 2
✅ MCM
Determinaremos el mínimo común múltiplo(m.c.m.) por descomposición simultánea.
[tex]\begin{array}{ccccc|c}\blue{\boldsymbol{18}}&&\blue{\boldsymbol{30}}&&\blue{\boldsymbol{62}}&2\\9&&15&&31&3\\3&&5&&31&3\\1&&5&&31&5\\1&&1&&31&31\\1&&1&&1&\end{array}[/tex]
[tex]\begin{array}{c}\mathsf{m.c.m.(18, 30, 62)=2\times3\times3\times5\times31}\\\\\mathsf{m.c.m.(18, 30, 62)=2^{}\times3^{2}\times5^{}\times31^{}}\\\\\boxed{\boxed{\boldsymbol{\mathsf{m.c.m.(18, 30, 62)=2790}}}}\end{array}[/tex]
Rpta. El mínimo común múltiplo de 18, 30 y 62 es 2790
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