Given numbers are 868,413,460,872,518

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

The LCM of 868,413,460,872,518 is 47503739080.

Find LCM of 868,413,460,872,518 with Prime Factorization

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

2 x 2 x 7 x 31 x 59 x 115 x 218 x 37 = 47503739080

Therefore, the lowest common multiple of 868,413,460,872,518 is 47503739080.

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.

868 x 413 x 460 x 872 x 518 = 74485862877440

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.

868 : 1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

413 : 1, 7, 59, 413

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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

518 : 1, 2, 7, 14, 37, 74, 259, 518

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 868,413,460,872,518, is 1.

Now, the common factors can be found like this.

868:2x 2x 7x 31

413:7x 59

460:2x 2x 5x 23

872:2x 2x 2x 109

518:2x 7x 37

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 7x 7 = 1568

Therefore, the value for common factors is 1568.

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 = 74485862877440/(1x1568)

LCM = 74485862877440/1568

LCM = 47503739080

Thus, we can understand that the LCM of 868,413,460,872,518 is 47503739080.

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

• LCM of 379, 441, 262, 439, 542
• LCM of 655, 949, 498, 172, 601
• LCM of 703, 765, 405, 265, 718
• LCM of 882, 862, 797, 550, 816
• LCM of 503, 576, 787, 700, 481

1. What is the LCM of 868, 413, 460, 872, 518?

Answer: LCM of 868, 413, 460, 872, 518 is 47503739080.

2. How to calculate the LCM of 868, 413, 460, 872, 518?

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 868, 413, 460, 872, 518.

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}.