Given numbers are 585,433,226,214,920

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

The LCM of 585,433,226,214,920 is 563538778920.

Find LCM of 585,433,226,214,920 with Prime Factorization

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

2 x 5 x 117 x 433 x 113 x 107 x 92 = 563538778920

Therefore, the lowest common multiple of 585,433,226,214,920 is 563538778920.

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.

585 x 433 x 226 x 214 x 920 = 11270775578400

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.

585 : 1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

433 : 1, 433

226 : 1, 2, 113, 226

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 585,433,226,214,920, is 1.

Now, the common factors can be found like this.

585:3x 3x 5x 13

433:433

226:2x 113

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 5 = 20

Therefore, the value for common factors is 20.

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 = 11270775578400/(1x20)

LCM = 11270775578400/20

LCM = 563538778920

Thus, we can understand that the LCM of 585,433,226,214,920 is 563538778920.

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

• LCM of 277, 511, 139, 887, 849
• LCM of 657, 814, 835, 834, 587
• LCM of 178, 807, 485, 618, 638
• LCM of 949, 462, 826, 502, 242
• LCM of 137, 562, 315, 971, 449

1. What is the LCM of 585, 433, 226, 214, 920?

Answer: LCM of 585, 433, 226, 214, 920 is 563538778920.

2. How to calculate the LCM of 585, 433, 226, 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 585, 433, 226, 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}.