Given numbers are 630,708,698,228,813

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

The LCM of 630,708,698,228,813 is 133589054340.

Find LCM of 630,708,698,228,813 with Prime Factorization

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

2 x 2 x 3 x 105 x 59 x 349 x 19 x 271 = 133589054340

Therefore, the lowest common multiple of 630,708,698,228,813 is 133589054340.

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.

630 x 708 x 698 x 228 x 813 = 57710471474880

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.

630 : 1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

708 : 1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

698 : 1, 2, 349, 698

228 : 1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

813 : 1, 3, 271, 813

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 630,708,698,228,813, is 1.

Now, the common factors can be found like this.

630:2x 3x 3x 5x 7

708:2x 2x 3x 59

698:2x 349

228:2x 2x 3x 19

813:3x 271

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 3x 3x 3 = 432

Therefore, the value for common factors is 432.

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 = 57710471474880/(1x432)

LCM = 57710471474880/432

LCM = 133589054340

Thus, we can understand that the LCM of 630,708,698,228,813 is 133589054340.

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

• LCM of 549, 148, 200, 970, 643
• LCM of 638, 124, 748, 963, 106
• LCM of 220, 696, 232, 507, 476
• LCM of 666, 796, 234, 179, 925
• LCM of 151, 825, 833, 754, 286

1. What is the LCM of 630, 708, 698, 228, 813?

Answer: LCM of 630, 708, 698, 228, 813 is 133589054340.

2. How to calculate the LCM of 630, 708, 698, 228, 813?

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 630, 708, 698, 228, 813.

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}.