Given numbers are 879,792,270,352

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

The LCM of 879,792,270,352 is 13923360.

Find LCM of 879,792,270,352 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 11 x 293 x 1 x 15 x 4 = 13923360

Therefore, the lowest common multiple of 879,792,270,352 is 13923360.

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.

879 x 792 x 270 x 352 = 66163806720

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.

879 : 1, 3, 293, 879

792 : 1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,792,270,352, is 1.

Now, the common factors can be found like this.

879:3x 293

792:2x 2x 2x 3x 3x 11

270:2x 3x 3x 3x 5

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

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 3x 3x 3x 11 = 4752

Therefore, the value for common factors is 4752.

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 = 66163806720/(1x4752)

LCM = 66163806720/4752

LCM = 13923360

Thus, we can understand that the LCM of 879,792,270,352 is 13923360.

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

• LCM of 715, 446, 169, 910
• LCM of 695, 980, 219, 316
• LCM of 678, 579, 546, 754
• LCM of 503, 829, 504, 202
• LCM of 134, 626, 789, 697

1. What is the LCM of 879, 792, 270, 352?

Answer: LCM of 879, 792, 270, 352 is 13923360.

2. How to calculate the LCM of 879, 792, 270, 352?

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 879, 792, 270, 352.

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}.