Calculadora de mínimo común múltiplo (LCM)

Encuentra el mínimo común múltiplo paso a paso

La calculadora encontrará el mínimo común múltiplo (más pequeño) de los números positivos dados, con los pasos que se muestran, utilizando el método de factorización o el método de descomposición en factores primos.

Enter numbers (comma-separated) or

Your input:

Positive numbers, separated by commas, for example, `20, 10, 35`.

Choose a method:

If the calculator did not compute something or you have identified an error, or you have a suggestion/feedback, please write it in the comments below.


Your input: find theLCM of $$$8, 72, 24$$$ using factoring.

The LCM of numbers is the smallest number that is divisible by all given numbers.

Find some multiples of each number.

  • Multiples of $$$\color{Green}{8}$$$: $$$8, 16, 24, 32, 40, 48, 56, 64, \color{Red}{72}, 80$$$
  • Multiples of $$$\color{Green}{72}$$$: $$$\color{Red}{72}, 144, 216$$$
  • Multiples of $$$\color{Green}{24}$$$: $$$24, 48, \color{Red}{72}, 96$$$

The smallest common (all numbers share it) multiple is highlighted.

Thus, $$$LCM\left(8, 72, 24\right)=72$$$.

Answer: $$$LCM\left(8, 72, 24\right)=72$$$.