Given numbers are 317,295,976,465,857

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

The LCM of 317,295,976,465,857 is 7274361278640.

Find LCM of 317,295,976,465,857 with Prime Factorization

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

5 x 317 x 59 x 976 x 93 x 857 = 7274361278640

Therefore, the lowest common multiple of 317,295,976,465,857 is 7274361278640.

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.

317 x 295 x 976 x 465 x 857 = 36371806393200

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.

317 : 1, 317

295 : 1, 5, 59, 295

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

465 : 1, 3, 5, 15, 31, 93, 155, 465

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 317,295,976,465,857, is 1.

Now, the common factors can be found like this.

317:317

295:5x 59

976:2x 2x 2x 2x 61

465:3x 5x 31

857:857

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

5 = 5

Therefore, the value for common factors is 5.

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 = 36371806393200/(1x5)

LCM = 36371806393200/5

LCM = 7274361278640

Thus, we can understand that the LCM of 317,295,976,465,857 is 7274361278640.

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

• LCM of 641, 201, 335, 418, 918
• LCM of 242, 501, 971, 682, 233
• LCM of 965, 744, 631, 280, 562
• LCM of 730, 273, 427, 661, 245
• LCM of 669, 172, 175, 766, 495

1. What is the LCM of 317, 295, 976, 465, 857?

Answer: LCM of 317, 295, 976, 465, 857 is 7274361278640.

2. How to calculate the LCM of 317, 295, 976, 465, 857?

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 317, 295, 976, 465, 857.

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}.