Given numbers are 920,364,406,642,638

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

The LCM of 920,364,406,642,638 is 8572844280.

Find LCM of 920,364,406,642,638 with Prime Factorization

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

2 x 2 x 7 x 29 x 230 x 13 x 1 x 321 x 11 = 8572844280

Therefore, the lowest common multiple of 920,364,406,642,638 is 8572844280.

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.

920 x 364 x 406 x 642 x 638 = 55689196442880

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.

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

364 : 1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

406 : 1, 2, 7, 14, 29, 58, 203, 406

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

638 : 1, 2, 11, 22, 29, 58, 319, 638

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,364,406,642,638, is 2.

Now, the common factors can be found like this.

920:2x 2x 2x 5x 23

364:2x 2x 7x 13

406:2x 7x 29

642:2x 3x 107

638:2x 11x 29

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 2x 7x 29 = 3248

Therefore, the value for common factors is 3248.

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 = 55689196442880/(2x3248)

LCM = 55689196442880/6496

LCM = 8572844280

Thus, we can understand that the LCM of 920,364,406,642,638 is 8572844280.

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

• LCM of 430, 859, 143, 955, 633
• LCM of 966, 817, 234, 291, 750
• LCM of 734, 261, 102, 532, 180
• LCM of 638, 733, 634, 366, 676
• LCM of 131, 877, 843, 410, 886

1. What is the LCM of 920, 364, 406, 642, 638?

Answer: LCM of 920, 364, 406, 642, 638 is 8572844280.

2. How to calculate the LCM of 920, 364, 406, 642, 638?

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 920, 364, 406, 642, 638.

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}.