Given numbers are 368,348,674,920,856

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

The LCM of 368,348,674,920,856 is 5772324720.

Find LCM of 368,348,674,920,856 with Prime Factorization

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

2 x 2 x 2 x 23 x 2 x 87 x 337 x 5 x 107 = 5772324720

Therefore, the lowest common multiple of 368,348,674,920,856 is 5772324720.

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 348 x 674 x 920 x 856 = 67974895902720

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

348 : 1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

674 : 1, 2, 337, 674

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

856 : 1, 2, 4, 8, 107, 214, 428, 856

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 368,348,674,920,856, is 2.

Now, the common factors can be found like this.

368:2x 2x 2x 2x 23

348:2x 2x 3x 29

674:2x 337

920:2x 2x 2x 5x 23

856:2x 2x 2x 107

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 23 = 5888

Therefore, the value for common factors is 5888.

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 = 67974895902720/(2x5888)

LCM = 67974895902720/11776

LCM = 5772324720

Thus, we can understand that the LCM of 368,348,674,920,856 is 5772324720.

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

• LCM of 179, 911, 916, 590, 675
• LCM of 457, 962, 441, 689, 447
• LCM of 614, 773, 798, 934, 557
• LCM of 387, 869, 628, 387, 110
• LCM of 874, 145, 680, 899, 962

1. What is the LCM of 368, 348, 674, 920, 856?

Answer: LCM of 368, 348, 674, 920, 856 is 5772324720.

2. How to calculate the LCM of 368, 348, 674, 920, 856?

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, 348, 674, 920, 856.

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}.