En Küçük Ortak Kat (EKOK) Hesaplayıcısı

En küçük ortak katı adım adım bulun

Hesaplayıcı, verilen pozitif sayıların en küçük ortak katını, adımlar gösterilerek, çarpan yöntemi ya da asal çarpanlara ayırma yöntemi kullanılarak bulur.

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 $$$\color{Green}{72}$$$: $$$\color{Red}{72}, 144, 216$$$
  • Multiples of $$$\color{Green}{24}$$$: $$$24, 48, \color{Red}{72}, 96, 120, 144$$$

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

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

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