Given numbers are 579,642,412,792

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

The LCM of 579,642,412,792 is 1684625976.

Find LCM of 579,642,412,792 with Prime Factorization

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

2 x 2 x 3 x 193 x 107 x 103 x 66 = 1684625976

Therefore, the lowest common multiple of 579,642,412,792 is 1684625976.

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.

579 x 642 x 412 x 792 = 121293070272

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.

579 : 1, 3, 193, 579

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

412 : 1, 2, 4, 103, 206, 412

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 579,642,412,792, is 1.

Now, the common factors can be found like this.

579:3x 193

642:2x 3x 107

412:2x 2x 103

792:2x 2x 2x 3x 3x 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 3x 3 = 72

Therefore, the value for common factors is 72.

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 = 121293070272/(1x72)

LCM = 121293070272/72

LCM = 1684625976

Thus, we can understand that the LCM of 579,642,412,792 is 1684625976.

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

• LCM of 836, 311, 241, 138
• LCM of 258, 392, 151, 526
• LCM of 485, 197, 774, 508
• LCM of 805, 872, 552, 667
• LCM of 256, 700, 937, 500

1. What is the LCM of 579, 642, 412, 792?

Answer: LCM of 579, 642, 412, 792 is 1684625976.

2. How to calculate the LCM of 579, 642, 412, 792?

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 579, 642, 412, 792.

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}.