Given numbers are 8517,9686

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

The LCM of 8517,9686 is 493986.

Find LCM of 8517,9686 with Prime Factorization

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

167 x 51 x 58 = 493986

Therefore, the lowest common multiple of 8517,9686 is 493986.

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.

8517 x 9686 = 82495662

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.

8517 : 1, 3, 17, 51, 167, 501, 2839, 8517

9686 : 1, 2, 29, 58, 167, 334, 4843, 9686

167 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8517,9686, is 167.

Now, the common factors can be found like this.

8517:3x 17x 167

9686:2x 29x 167

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

= 1

Therefore, the value for common factors is 1.

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 = 82495662/(167x1)

LCM = 82495662/167

LCM = 493986

Thus, we can understand that the LCM of 8517,9686 is 493986.

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

• LCM of 8545, 8559
• LCM of 7457, 5870
• LCM of 4889, 1462
• LCM of 6612, 4026
• LCM of 1311, 3006

1. What is the LCM of 8517, 9686?

Answer: LCM of 8517, 9686 is 493986.

2. How to calculate the LCM of 8517, 9686?

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 8517, 9686.

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}.