Kleinste gemene veelvoud (KGV) rekenmachine

Vind het kleinste gemene veelvoud stap voor stap

De rekenmachine vindt het kleinste gemene veelvoud van de gegeven positieve getallen en toont de stappen, met behulp van de factorenmethode of de priemfactorisatiemethode.

Enter numbers (comma-separated) or

Your input:

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

Choose a method:

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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 $$$\color{Green}{8}$$$: $$$8, 16, 24, 32, 40, 48, 56, 64, \color{Red}{72}, 80, 88$$$
  • Multiples of $$$\color{Green}{72}$$$: $$$\color{Red}{72}, 144$$$
  • Multiples of $$$\color{Green}{24}$$$: $$$24, 48, \color{Red}{72}, 96, 120, 144, 168, 192$$$

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

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

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