Given numbers are 879,357,642,408,960

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

The LCM of 879,357,642,408,960 is 3581538240.

Find LCM of 879,357,642,408,960 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 293 x 7 x 107 x 1 x 40 = 3581538240

Therefore, the lowest common multiple of 879,357,642,408,960 is 3581538240.

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 357 x 642 x 408 x 960 = 78908450503680

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

357 : 1, 3, 7, 17, 21, 51, 119, 357

642 : 1, 2, 3, 6, 107, 214, 321, 642

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 879,357,642,408,960, is 3.

Now, the common factors can be found like this.

879:3x 293

357:3x 7x 17

642:2x 3x 107

408:2x 2x 2x 3x 17

960:2x 2x 2x 2x 2x 2x 3x 5

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 17 = 7344

Therefore, the value for common factors is 7344.

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 = 78908450503680/(3x7344)

LCM = 78908450503680/22032

LCM = 3581538240

Thus, we can understand that the LCM of 879,357,642,408,960 is 3581538240.

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

• LCM of 974, 232, 540, 554, 605
• LCM of 270, 287, 123, 721, 784
• LCM of 307, 195, 796, 425, 281
• LCM of 911, 550, 508, 248, 999
• LCM of 638, 159, 360, 491, 130

1. What is the LCM of 879, 357, 642, 408, 960?

Answer: LCM of 879, 357, 642, 408, 960 is 3581538240.

2. How to calculate the LCM of 879, 357, 642, 408, 960?

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, 357, 642, 408, 960.

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}.