Given numbers are 676,540,986,872

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

The LCM of 676,540,986,872 is 9808077240.

Find LCM of 676,540,986,872 with Prime Factorization

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

2 x 2 x 169 x 135 x 493 x 218 = 9808077240

Therefore, the lowest common multiple of 676,540,986,872 is 9808077240.

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.

676 x 540 x 986 x 872 = 313858471680

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.

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

540 : 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

986 : 1, 2, 17, 29, 34, 58, 493, 986

872 : 1, 2, 4, 8, 109, 218, 436, 872

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 676,540,986,872, is 2.

Now, the common factors can be found like this.

676:2x 2x 13x 13

540:2x 2x 3x 3x 3x 5

986:2x 17x 29

872:2x 2x 2x 109

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 2 = 16

Therefore, the value for common factors is 16.

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 = 313858471680/(2x16)

LCM = 313858471680/32

LCM = 9808077240

Thus, we can understand that the LCM of 676,540,986,872 is 9808077240.

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

• LCM of 149, 584, 969, 962
• LCM of 647, 276, 635, 779
• LCM of 883, 461, 860, 448
• LCM of 584, 795, 934, 560
• LCM of 683, 677, 603, 411

1. What is the LCM of 676, 540, 986, 872?

Answer: LCM of 676, 540, 986, 872 is 9808077240.

2. How to calculate the LCM of 676, 540, 986, 872?

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 676, 540, 986, 872.

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}.