Given numbers are 684,638,817,912,913

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

The LCM of 684,638,817,912,913 is 3114966096.

Find LCM of 684,638,817,912,913 with Prime Factorization

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

2 x 2 x 3 x 11 x 19 x 3 x 29 x 43 x 4 x 83 = 3114966096

Therefore, the lowest common multiple of 684,638,817,912,913 is 3114966096.

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.

684 x 638 x 817 x 912 x 913 = 296868728813184

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.

684 : 1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

638 : 1, 2, 11, 22, 29, 58, 319, 638

817 : 1, 19, 43, 817

912 : 1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

913 : 1, 11, 83, 913

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 684,638,817,912,913, is 1.

Now, the common factors can be found like this.

684:2x 2x 3x 3x 19

638:2x 11x 29

817:19x 43

912:2x 2x 2x 2x 3x 19

913:11x 83

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 3x 11x 19x 19 = 95304

Therefore, the value for common factors is 95304.

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 = 296868728813184/(1x95304)

LCM = 296868728813184/95304

LCM = 3114966096

Thus, we can understand that the LCM of 684,638,817,912,913 is 3114966096.

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

• LCM of 160, 333, 694, 892, 937
• LCM of 371, 665, 674, 691, 920
• LCM of 310, 709, 303, 392, 370
• LCM of 610, 909, 300, 932, 667
• LCM of 308, 733, 616, 665, 799

1. What is the LCM of 684, 638, 817, 912, 913?

Answer: LCM of 684, 638, 817, 912, 913 is 3114966096.

2. How to calculate the LCM of 684, 638, 817, 912, 913?

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 684, 638, 817, 912, 913.

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}.