Calculatrice des moindres communs multiples (LCM)

La calculatrice trouvera le plus petit (le plus petit) multiple commun des nombres positifs donnés, avec les étapes indiquées, en utilisant soit la méthode de factorisation, soit la méthode de factorisation en nombres premiers.

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.

Solution

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 $$$\color{Green}{72}$$$: $$$\color{Red}{72}, 144, 216, 288$$$
  • 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: $$$LCM\left(8, 72, 24\right)=72$$$.