Given numbers are 284,328,508,725,341

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

The LCM of 284,328,508,725,341 is 731186726600.

Find LCM of 284,328,508,725,341 with Prime Factorization

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

2 x 2 x 71 x 82 x 127 x 725 x 341 = 731186726600

Therefore, the lowest common multiple of 284,328,508,725,341 is 731186726600.

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.

284 x 328 x 508 x 725 x 341 = 11698987625600

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.

284 : 1, 2, 4, 71, 142, 284

328 : 1, 2, 4, 8, 41, 82, 164, 328

508 : 1, 2, 4, 127, 254, 508

725 : 1, 5, 25, 29, 145, 725

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 284,328,508,725,341, is 1.

Now, the common factors can be found like this.

284:2x 2x 71

328:2x 2x 2x 41

508:2x 2x 127

725:5x 5x 29

341:11x 31

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 2 = 16

Therefore, the value for common factors is 16.

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 = 11698987625600/(1x16)

LCM = 11698987625600/16

LCM = 731186726600

Thus, we can understand that the LCM of 284,328,508,725,341 is 731186726600.

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

• LCM of 717, 610, 446, 615, 687
• LCM of 566, 943, 724, 158, 540
• LCM of 140, 574, 182, 878, 373
• LCM of 414, 302, 252, 507, 900
• LCM of 566, 365, 800, 228, 182

1. What is the LCM of 284, 328, 508, 725, 341?

Answer: LCM of 284, 328, 508, 725, 341 is 731186726600.

2. How to calculate the LCM of 284, 328, 508, 725, 341?

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 284, 328, 508, 725, 341.

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}.