Given numbers are 638,844,605,120,828

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

The LCM of 638,844,605,120,828 is 6130503720.

Find LCM of 638,844,605,120,828 with Prime Factorization

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

2 x 2 x 3 x 5 x 11 x 29 x 211 x 11 x 2 x 69 = 6130503720

Therefore, the lowest common multiple of 638,844,605,120,828 is 6130503720.

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.

638 x 844 x 605 x 120 x 828 = 32369059641600

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.

638 : 1, 2, 11, 22, 29, 58, 319, 638

844 : 1, 2, 4, 211, 422, 844

605 : 1, 5, 11, 55, 121, 605

120 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 638,844,605,120,828, is 1.

Now, the common factors can be found like this.

638:2x 11x 29

844:2x 2x 211

605:5x 11x 11

120:2x 2x 2x 3x 5

828:2x 2x 3x 3x 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 2x 2x 2x 2x 3x 5x 11 = 5280

Therefore, the value for common factors is 5280.

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 = 32369059641600/(1x5280)

LCM = 32369059641600/5280

LCM = 6130503720

Thus, we can understand that the LCM of 638,844,605,120,828 is 6130503720.

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

• LCM of 255, 503, 126, 231, 541
• LCM of 472, 340, 519, 802, 345
• LCM of 737, 222, 198, 257, 647
• LCM of 857, 142, 731, 327, 360
• LCM of 764, 518, 335, 605, 573

1. What is the LCM of 638, 844, 605, 120, 828?

Answer: LCM of 638, 844, 605, 120, 828 is 6130503720.

2. How to calculate the LCM of 638, 844, 605, 120, 828?

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 638, 844, 605, 120, 828.

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}.