Given numbers are 857,108,921,207,517

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

The LCM of 857,108,921,207,517 is 337879102572.

Find LCM of 857,108,921,207,517 with Prime Factorization

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

3 x 3 x 857 x 12 x 307 x 23 x 517 = 337879102572

Therefore, the lowest common multiple of 857,108,921,207,517 is 337879102572.

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.

857 x 108 x 921 x 207 x 517 = 9122735769444

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.

857 : 1, 857

108 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

921 : 1, 3, 307, 921

207 : 1, 3, 9, 23, 69, 207

517 : 1, 11, 47, 517

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 857,108,921,207,517, is 1.

Now, the common factors can be found like this.

857:857

108:2x 2x 3x 3x 3

921:3x 307

207:3x 3x 23

517:11x 47

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 9122735769444/(1x27)

LCM = 9122735769444/27

LCM = 337879102572

Thus, we can understand that the LCM of 857,108,921,207,517 is 337879102572.

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

• LCM of 986, 999, 892, 722, 682
• LCM of 147, 819, 571, 764, 941
• LCM of 265, 947, 913, 210, 589
• LCM of 593, 325, 349, 369, 226
• LCM of 419, 237, 165, 131, 730

1. What is the LCM of 857, 108, 921, 207, 517?

Answer: LCM of 857, 108, 921, 207, 517 is 337879102572.

2. How to calculate the LCM of 857, 108, 921, 207, 517?

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 857, 108, 921, 207, 517.

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}.