Given numbers are 102,715,374,572,758

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

The LCM of 102,715,374,572,758 is 55280940.

Find LCM of 102,715,374,572,758 with Prime Factorization

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

2 x 11 x 13 x 17 x 3 x 5 x 1 x 2 x 379 = 55280940

Therefore, the lowest common multiple of 102,715,374,572,758 is 55280940.

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.

102 x 715 x 374 x 572 x 758 = 11826140932320

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.

102 : 1, 2, 3, 6, 17, 34, 51, 102

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

374 : 1, 2, 11, 17, 22, 34, 187, 374

572 : 1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

758 : 1, 2, 379, 758

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 102,715,374,572,758, is 1.

Now, the common factors can be found like this.

102:2x 3x 17

715:5x 11x 13

374:2x 11x 17

572:2x 2x 11x 13

758:2x 379

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 11x 11x 13x 17 = 213928

Therefore, the value for common factors is 213928.

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 = 11826140932320/(1x213928)

LCM = 11826140932320/213928

LCM = 55280940

Thus, we can understand that the LCM of 102,715,374,572,758 is 55280940.

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

• LCM of 772, 244, 817, 171, 755
• LCM of 754, 949, 242, 271, 561
• LCM of 672, 500, 540, 152, 510
• LCM of 350, 740, 677, 608, 742
• LCM of 502, 334, 608, 420, 488

1. What is the LCM of 102, 715, 374, 572, 758?

Answer: LCM of 102, 715, 374, 572, 758 is 55280940.

2. How to calculate the LCM of 102, 715, 374, 572, 758?

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 102, 715, 374, 572, 758.

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}.