Determinaremos el m.c.m. mediante descomposición polinómica(Ver imagen)
[tex]\begin{array}{ccccc|c}\blue{\boldsymbol{12}}&&\blue{\boldsymbol{60}}&&\blue{\boldsymbol{45}}&2\\6&&30&&45&2\\3&&15&&45&3\\1&&5&&15&3\\1&&5&&5&5\\1&&1&&1&\end{array}[/tex]
Entonces
[tex]\begin{array}{c}\mathsf{m.c.m.(12, 60, 45)=2\times2\times3\times3\times5}\\\\\mathsf{m.c.m.(12, 60, 45)=2^{2}\times3^{2}\times5^{}}\\\\\boxed{\boxed{\boldsymbol{\mathsf{m.c.m.(12, 60, 45)=180}}}}\end{array}[/tex]
Rpta. El mínimo común múltiplo de 12, 60 y 45 es 180.
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