Kleinstes gemeinsames Vielfaches (LCM)-Rechner

Der Rechner findet das kleinste (kleinste) gemeinsame Vielfache der gegebenen positiven Zahlen mit angezeigten Schritten, entweder mit der Faktorisierungsmethode oder der Primfaktorzerlegungsmethode.

Enter numbers (comma-separated) or

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 $\color{Green}{8}$: $8, 16, 24, 32, 40, 48, 56, 64, \color{Red}{72}, 80, 88, 96, 104, 112$
• 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: $LCM\left(8, 72, 24\right)=72$.