Given numbers are 478,634,570,601,728

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

The LCM of 478,634,570,601,728 is 9447303651240.

Find LCM of 478,634,570,601,728 with Prime Factorization

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

2 x 239 x 317 x 285 x 601 x 364 = 9447303651240

Therefore, the lowest common multiple of 478,634,570,601,728 is 9447303651240.

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 634 x 570 x 601 x 728 = 75578429209920

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

634 : 1, 2, 317, 634

570 : 1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

601 : 1, 601

728 : 1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,634,570,601,728, is 1.

Now, the common factors can be found like this.

478:2x 239

634:2x 317

570:2x 3x 5x 19

601:601

728:2x 2x 2x 7x 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 2 = 8

Therefore, the value for common factors is 8.

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 = 75578429209920/(1x8)

LCM = 75578429209920/8

LCM = 9447303651240

Thus, we can understand that the LCM of 478,634,570,601,728 is 9447303651240.

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

• LCM of 558, 696, 364, 239, 482
• LCM of 407, 622, 240, 695, 478
• LCM of 665, 695, 625, 875, 434
• LCM of 885, 289, 779, 706, 500
• LCM of 599, 976, 843, 884, 721

1. What is the LCM of 478, 634, 570, 601, 728?

Answer: LCM of 478, 634, 570, 601, 728 is 9447303651240.

2. How to calculate the LCM of 478, 634, 570, 601, 728?

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, 634, 570, 601, 728.

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}.