Given numbers are 580,121,914,214

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

The LCM of 580,121,914,214 is 3431731820.

Find LCM of 580,121,914,214 with Prime Factorization

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

2 x 290 x 121 x 457 x 107 = 3431731820

Therefore, the lowest common multiple of 580,121,914,214 is 3431731820.

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.

580 x 121 x 914 x 214 = 13726927280

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

121 : 1, 11, 121

914 : 1, 2, 457, 914

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,121,914,214, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

121:11x 11

914:2x 457

214:2x 107

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 13726927280/(1x4)

LCM = 13726927280/4

LCM = 3431731820

Thus, we can understand that the LCM of 580,121,914,214 is 3431731820.

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

• LCM of 563, 337, 735, 602
• LCM of 497, 613, 912, 688
• LCM of 878, 416, 196, 647
• LCM of 583, 770, 647, 237
• LCM of 669, 364, 889, 944

1. What is the LCM of 580, 121, 914, 214?

Answer: LCM of 580, 121, 914, 214 is 3431731820.

2. How to calculate the LCM of 580, 121, 914, 214?

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 580, 121, 914, 214.

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}.