Given numbers are 928,168,416,313,559

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

The LCM of 928,168,416,313,559 is 3409756896.

Find LCM of 928,168,416,313,559 with Prime Factorization

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

2 x 2 x 2 x 2 x 2 x 13 x 29 x 21 x 1 x 313 x 43 = 3409756896

Therefore, the lowest common multiple of 928,168,416,313,559 is 3409756896.

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.

928 x 168 x 416 x 313 x 559 = 11347670949888

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.

928 : 1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

416 : 1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

313 : 1, 313

559 : 1, 13, 43, 559

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 928,168,416,313,559, is 1.

Now, the common factors can be found like this.

928:2x 2x 2x 2x 2x 29

168:2x 2x 2x 3x 7

416:2x 2x 2x 2x 2x 13

313:313

559:13x 43

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 2x 2x 13 = 3328

Therefore, the value for common factors is 3328.

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 = 11347670949888/(1x3328)

LCM = 11347670949888/3328

LCM = 3409756896

Thus, we can understand that the LCM of 928,168,416,313,559 is 3409756896.

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

• LCM of 277, 291, 137, 320, 627
• LCM of 210, 325, 920, 237, 425
• LCM of 284, 512, 742, 542, 565
• LCM of 808, 733, 747, 552, 846
• LCM of 390, 561, 185, 128, 730

1. What is the LCM of 928, 168, 416, 313, 559?

Answer: LCM of 928, 168, 416, 313, 559 is 3409756896.

2. How to calculate the LCM of 928, 168, 416, 313, 559?

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 928, 168, 416, 313, 559.

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}.