Given numbers are 478,546,840,878,714

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

The LCM of 478,546,840,878,714 is 19477534440.

Find LCM of 478,546,840,878,714 with Prime Factorization

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

2 x 3 x 7 x 239 x 13 x 20 x 439 x 17 = 19477534440

Therefore, the lowest common multiple of 478,546,840,878,714 is 19477534440.

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.

478 x 546 x 840 x 878 x 714 = 137433483008640

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.

478 : 1, 2, 239, 478

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

840 : 1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

878 : 1, 2, 439, 878

714 : 1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,546,840,878,714, is 2.

Now, the common factors can be found like this.

478:2x 239

546:2x 3x 7x 13

840:2x 2x 2x 3x 5x 7

878:2x 439

714:2x 3x 7x 17

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 3x 7x 7 = 3528

Therefore, the value for common factors is 3528.

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 = 137433483008640/(2x3528)

LCM = 137433483008640/7056

LCM = 19477534440

Thus, we can understand that the LCM of 478,546,840,878,714 is 19477534440.

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

• LCM of 935, 480, 638, 636, 761
• LCM of 382, 102, 160, 473, 186
• LCM of 179, 773, 214, 782, 583
• LCM of 499, 585, 387, 730, 920
• LCM of 247, 362, 813, 807, 953

1. What is the LCM of 478, 546, 840, 878, 714?

Answer: LCM of 478, 546, 840, 878, 714 is 19477534440.

2. How to calculate the LCM of 478, 546, 840, 878, 714?

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 478, 546, 840, 878, 714.

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}.