Given numbers are 343,407,352,495,617

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

The LCM of 343,407,352,495,617 is 124032696480.

Find LCM of 343,407,352,495,617 with Prime Factorization

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

11 x 343 x 37 x 32 x 45 x 617 = 124032696480

Therefore, the lowest common multiple of 343,407,352,495,617 is 124032696480.

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.

343 x 407 x 352 x 495 x 617 = 15007956274080

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.

343 : 1, 7, 49, 343

407 : 1, 11, 37, 407

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

495 : 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

617 : 1, 617

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,407,352,495,617, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

407:11x 37

352:2x 2x 2x 2x 2x 11

495:3x 3x 5x 11

617:617

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

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 15007956274080/(1x121)

LCM = 15007956274080/121

LCM = 124032696480

Thus, we can understand that the LCM of 343,407,352,495,617 is 124032696480.

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

• LCM of 184, 604, 198, 216, 566
• LCM of 784, 316, 890, 903, 249
• LCM of 188, 346, 171, 457, 541
• LCM of 477, 759, 310, 519, 104
• LCM of 860, 123, 672, 763, 445

1. What is the LCM of 343, 407, 352, 495, 617?

Answer: LCM of 343, 407, 352, 495, 617 is 124032696480.

2. How to calculate the LCM of 343, 407, 352, 495, 617?

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 343, 407, 352, 495, 617.

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}.