Given numbers are 642,622,824,563,738

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 642,622,824,563,738 is 5696474261256.

Find LCM of 642,622,824,563,738 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 107 x 311 x 412 x 563 x 123 = 5696474261256

Therefore, the lowest common multiple of 642,622,824,563,738 is 5696474261256.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

642 x 622 x 824 x 563 x 738 = 136715382270144

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

642 : 1, 2, 3, 6, 107, 214, 321, 642

622 : 1, 2, 311, 622

824 : 1, 2, 4, 8, 103, 206, 412, 824

563 : 1, 563

738 : 1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 642,622,824,563,738, is 1.

Now, the common factors can be found like this.

642:2x 3x 107

622:2x 311

824:2x 2x 2x 103

563:563

738:2x 3x 3x 41

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 3 = 24

Therefore, the value for common factors is 24.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 136715382270144/(1x24)

LCM = 136715382270144/24

LCM = 5696474261256

Thus, we can understand that the LCM of 642,622,824,563,738 is 5696474261256.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 204, 290, 321, 106, 167
• LCM of 172, 503, 146, 333, 718
• LCM of 861, 185, 110, 200, 432
• LCM of 667, 416, 644, 709, 727
• LCM of 385, 191, 513, 604, 418

1. What is the LCM of 642, 622, 824, 563, 738?

Answer: LCM of 642, 622, 824, 563, 738 is 5696474261256.

2. How to calculate the LCM of 642, 622, 824, 563, 738?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 642, 622, 824, 563, 738.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.