Given numbers are 813,715,873,264,966

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

The LCM of 813,715,873,264,966 is 217874016360.

Find LCM of 813,715,873,264,966 with Prime Factorization

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

2 x 3 x 11 x 271 x 65 x 291 x 4 x 161 = 217874016360

Therefore, the lowest common multiple of 813,715,873,264,966 is 217874016360.

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.

813 x 715 x 873 x 264 x 966 = 129417165717840

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.

813 : 1, 3, 271, 813

715 : 1, 5, 11, 13, 55, 65, 143, 715

873 : 1, 3, 9, 97, 291, 873

264 : 1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,715,873,264,966, is 1.

Now, the common factors can be found like this.

813:3x 271

715:5x 11x 13

873:3x 3x 97

264:2x 2x 2x 3x 11

966:2x 3x 7x 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 3x 3x 3x 11 = 594

Therefore, the value for common factors is 594.

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 = 129417165717840/(1x594)

LCM = 129417165717840/594

LCM = 217874016360

Thus, we can understand that the LCM of 813,715,873,264,966 is 217874016360.

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

• LCM of 520, 994, 806, 710, 444
• LCM of 476, 688, 361, 727, 576
• LCM of 755, 940, 966, 693, 601
• LCM of 471, 101, 361, 759, 721
• LCM of 589, 831, 307, 755, 860

1. What is the LCM of 813, 715, 873, 264, 966?

Answer: LCM of 813, 715, 873, 264, 966 is 217874016360.

2. How to calculate the LCM of 813, 715, 873, 264, 966?

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 813, 715, 873, 264, 966.

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}.