Given numbers are 478,511,637,676,416

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

The LCM of 478,511,637,676,416 is 4623315424.

Find LCM of 478,511,637,676,416 with Prime Factorization

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

2 x 2 x 7 x 13 x 239 x 73 x 7 x 13 x 8 = 4623315424

Therefore, the lowest common multiple of 478,511,637,676,416 is 4623315424.

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 511 x 637 x 676 x 416 = 43755057172736

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

511 : 1, 7, 73, 511

637 : 1, 7, 13, 49, 91, 637

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,511,637,676,416, is 1.

Now, the common factors can be found like this.

478:2x 239

511:7x 73

637:7x 7x 13

676:2x 2x 13x 13

416:2x 2x 2x 2x 2x 13

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 7x 13x 13 = 9464

Therefore, the value for common factors is 9464.

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 = 43755057172736/(1x9464)

LCM = 43755057172736/9464

LCM = 4623315424

Thus, we can understand that the LCM of 478,511,637,676,416 is 4623315424.

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

• LCM of 171, 714, 195, 647, 456
• LCM of 990, 438, 347, 518, 844
• LCM of 770, 917, 914, 839, 601
• LCM of 884, 189, 636, 568, 626
• LCM of 664, 901, 195, 767, 425

1. What is the LCM of 478, 511, 637, 676, 416?

Answer: LCM of 478, 511, 637, 676, 416 is 4623315424.

2. How to calculate the LCM of 478, 511, 637, 676, 416?

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, 511, 637, 676, 416.

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}.