Given numbers are 368,342,920,516,317

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

The LCM of 368,342,920,516,317 is 4288857840.

Find LCM of 368,342,920,516,317 with Prime Factorization

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

2 x 2 x 2 x 3 x 23 x 2 x 57 x 5 x 43 x 317 = 4288857840

Therefore, the lowest common multiple of 368,342,920,516,317 is 4288857840.

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.

368 x 342 x 920 x 516 x 317 = 18939596221440

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.

368 : 1, 2, 4, 8, 16, 23, 46, 92, 184, 368

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

516 : 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,342,920,516,317, is 1.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

342:2x 3x 3x 19

920:2x 2x 2x 5x 23

516:2x 2x 3x 43

317:317

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 2x 3x 23 = 4416

Therefore, the value for common factors is 4416.

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 = 18939596221440/(1x4416)

LCM = 18939596221440/4416

LCM = 4288857840

Thus, we can understand that the LCM of 368,342,920,516,317 is 4288857840.

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

• LCM of 543, 355, 400, 541, 848
• LCM of 645, 806, 427, 428, 566
• LCM of 340, 766, 665, 574, 554
• LCM of 851, 476, 106, 507, 240
• LCM of 567, 211, 914, 513, 807

1. What is the LCM of 368, 342, 920, 516, 317?

Answer: LCM of 368, 342, 920, 516, 317 is 4288857840.

2. How to calculate the LCM of 368, 342, 920, 516, 317?

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 368, 342, 920, 516, 317.

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}.