Given numbers are 396,687,342,755,879

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

The LCM of 396,687,342,755,879 is 381152560140.

Find LCM of 396,687,342,755,879 with Prime Factorization

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

2 x 3 x 3 x 22 x 229 x 19 x 755 x 293 = 381152560140

Therefore, the lowest common multiple of 396,687,342,755,879 is 381152560140.

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.

396 x 687 x 342 x 755 x 879 = 61746714742680

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.

396 : 1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

687 : 1, 3, 229, 687

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

755 : 1, 5, 151, 755

879 : 1, 3, 293, 879

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 396,687,342,755,879, is 1.

Now, the common factors can be found like this.

396:2x 2x 3x 3x 11

687:3x 229

342:2x 3x 3x 19

755:5x 151

879:3x 293

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

2x 3x 3x 3x 3 = 162

Therefore, the value for common factors is 162.

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 = 61746714742680/(1x162)

LCM = 61746714742680/162

LCM = 381152560140

Thus, we can understand that the LCM of 396,687,342,755,879 is 381152560140.

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

• LCM of 747, 199, 598, 264, 385
• LCM of 123, 764, 246, 909, 327
• LCM of 733, 963, 295, 262, 872
• LCM of 211, 658, 494, 207, 578
• LCM of 838, 642, 253, 664, 605

1. What is the LCM of 396, 687, 342, 755, 879?

Answer: LCM of 396, 687, 342, 755, 879 is 381152560140.

2. How to calculate the LCM of 396, 687, 342, 755, 879?

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 396, 687, 342, 755, 879.

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}.