Given numbers are 872,498,564,996,352

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

The LCM of 872,498,564,996,352 is 449020704.

Find LCM of 872,498,564,996,352 with Prime Factorization

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

2 x 2 x 2 x 3 x 83 x 109 x 1 x 47 x 1 x 44 = 449020704

Therefore, the lowest common multiple of 872,498,564,996,352 is 449020704.

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.

872 x 498 x 564 x 996 x 352 = 85867127267328

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.

872 : 1, 2, 4, 8, 109, 218, 436, 872

498 : 1, 2, 3, 6, 83, 166, 249, 498

564 : 1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,498,564,996,352, is 2.

Now, the common factors can be found like this.

872:2x 2x 2x 109

498:2x 3x 83

564:2x 2x 3x 47

996:2x 2x 3x 83

352:2x 2x 2x 2x 2x 11

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 2x 2x 3x 3x 83 = 95616

Therefore, the value for common factors is 95616.

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 = 85867127267328/(2x95616)

LCM = 85867127267328/191232

LCM = 449020704

Thus, we can understand that the LCM of 872,498,564,996,352 is 449020704.

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

• LCM of 647, 782, 734, 878, 164
• LCM of 455, 697, 210, 705, 529
• LCM of 556, 609, 814, 689, 853
• LCM of 394, 624, 209, 342, 173
• LCM of 360, 788, 361, 102, 819

1. What is the LCM of 872, 498, 564, 996, 352?

Answer: LCM of 872, 498, 564, 996, 352 is 449020704.

2. How to calculate the LCM of 872, 498, 564, 996, 352?

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 872, 498, 564, 996, 352.

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}.