Given numbers are 329,108,214,920

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

The LCM of 329,108,214,920 is 874442520.

Find LCM of 329,108,214,920 with Prime Factorization

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

2 x 2 x 329 x 27 x 107 x 230 = 874442520

Therefore, the lowest common multiple of 329,108,214,920 is 874442520.

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.

329 x 108 x 214 x 920 = 6995540160

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.

329 : 1, 7, 47, 329

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

214 : 1, 2, 107, 214

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 329,108,214,920, is 1.

Now, the common factors can be found like this.

329:7x 47

108:2x 2x 3x 3x 3

214:2x 107

920:2x 2x 2x 5x 23

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 2 = 8

Therefore, the value for common factors is 8.

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 = 6995540160/(1x8)

LCM = 6995540160/8

LCM = 874442520

Thus, we can understand that the LCM of 329,108,214,920 is 874442520.

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

• LCM of 511, 646, 708, 636
• LCM of 565, 944, 327, 278
• LCM of 293, 137, 903, 180
• LCM of 668, 396, 975, 113
• LCM of 357, 906, 185, 794

1. What is the LCM of 329, 108, 214, 920?

Answer: LCM of 329, 108, 214, 920 is 874442520.

2. How to calculate the LCM of 329, 108, 214, 920?

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 329, 108, 214, 920.

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}.