Given numbers are 792,561,786,460

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

The LCM of 792,561,786,460 is 202835160.

Find LCM of 792,561,786,460 with Prime Factorization

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

2 x 2 x 3 x 11 x 6 x 17 x 131 x 115 = 202835160

Therefore, the lowest common multiple of 792,561,786,460 is 202835160.

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.

792 x 561 x 786 x 460 = 160645446720

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.

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

561 : 1, 3, 11, 17, 33, 51, 187, 561

786 : 1, 2, 3, 6, 131, 262, 393, 786

460 : 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 792,561,786,460, is 1.

Now, the common factors can be found like this.

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

561:3x 11x 17

786:2x 3x 131

460:2x 2x 5x 23

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 3x 11 = 792

Therefore, the value for common factors is 792.

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 = 160645446720/(1x792)

LCM = 160645446720/792

LCM = 202835160

Thus, we can understand that the LCM of 792,561,786,460 is 202835160.

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

• LCM of 591, 195, 556, 865
• LCM of 196, 681, 601, 832
• LCM of 417, 123, 494, 961
• LCM of 739, 394, 750, 215
• LCM of 307, 294, 287, 687

1. What is the LCM of 792, 561, 786, 460?

Answer: LCM of 792, 561, 786, 460 is 202835160.

2. How to calculate the LCM of 792, 561, 786, 460?

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 792, 561, 786, 460.

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}.