Given numbers are 872,990,519,757,891

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

The LCM of 872,990,519,757,891 is 508752054360.

Find LCM of 872,990,519,757,891 with Prime Factorization

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

2 x 3 x 3 x 11 x 436 x 5 x 173 x 757 x 9 = 508752054360

Therefore, the lowest common multiple of 872,990,519,757,891 is 508752054360.

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 990 x 519 x 757 x 891 = 302198720289840

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

990 : 1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

519 : 1, 3, 173, 519

757 : 1, 757

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,990,519,757,891, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

990:2x 3x 3x 5x 11

519:3x 173

757:757

891:3x 3x 3x 3x 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 3x 3x 3x 11 = 594

Therefore, the value for common factors is 594.

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 = 302198720289840/(1x594)

LCM = 302198720289840/594

LCM = 508752054360

Thus, we can understand that the LCM of 872,990,519,757,891 is 508752054360.

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

• LCM of 226, 151, 855, 776, 519
• LCM of 499, 531, 455, 255, 453
• LCM of 153, 191, 819, 698, 373
• LCM of 555, 197, 483, 758, 806
• LCM of 470, 297, 415, 758, 564

1. What is the LCM of 872, 990, 519, 757, 891?

Answer: LCM of 872, 990, 519, 757, 891 is 508752054360.

2. How to calculate the LCM of 872, 990, 519, 757, 891?

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, 990, 519, 757, 891.

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}.