Given numbers are 872,808,920,344,422

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

The LCM of 872,808,920,344,422 is 91893884440.

Find LCM of 872,808,920,344,422 with Prime Factorization

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

2 x 2 x 2 x 109 x 101 x 115 x 43 x 211 = 91893884440

Therefore, the lowest common multiple of 872,808,920,344,422 is 91893884440.

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.

872 x 808 x 920 x 344 x 422 = 94099337666560

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

808 : 1, 2, 4, 8, 101, 202, 404, 808

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

344 : 1, 2, 4, 8, 43, 86, 172, 344

422 : 1, 2, 211, 422

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,808,920,344,422, is 2.

Now, the common factors can be found like this.

872:2x 2x 2x 109

808:2x 2x 2x 101

920:2x 2x 2x 5x 23

344:2x 2x 2x 43

422:2x 211

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 2x 2x 2x 2x 2 = 512

Therefore, the value for common factors is 512.

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 = 94099337666560/(2x512)

LCM = 94099337666560/1024

LCM = 91893884440

Thus, we can understand that the LCM of 872,808,920,344,422 is 91893884440.

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

• LCM of 953, 354, 492, 664, 603
• LCM of 308, 967, 929, 984, 399
• LCM of 884, 886, 721, 587, 907
• LCM of 284, 592, 143, 757, 226
• LCM of 179, 153, 627, 117, 858

1. What is the LCM of 872, 808, 920, 344, 422?

Answer: LCM of 872, 808, 920, 344, 422 is 91893884440.

2. How to calculate the LCM of 872, 808, 920, 344, 422?

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 872, 808, 920, 344, 422.

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}.