Given numbers are 986,531,792,864

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

The LCM of 986,531,792,864 is 276442848.

Find LCM of 986,531,792,864 with Prime Factorization

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

2 x 2 x 2 x 3 x 3 x 493 x 59 x 11 x 12 = 276442848

Therefore, the lowest common multiple of 986,531,792,864 is 276442848.

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.

986 x 531 x 792 x 864 = 358269931008

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.

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

531 : 1, 3, 9, 59, 177, 531

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

864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 986,531,792,864, is 1.

Now, the common factors can be found like this.

986:2x 17x 29

531:3x 3x 59

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

864:2x 2x 2x 2x 2x 3x 3x 3

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 3 = 1296

Therefore, the value for common factors is 1296.

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 = 358269931008/(1x1296)

LCM = 358269931008/1296

LCM = 276442848

Thus, we can understand that the LCM of 986,531,792,864 is 276442848.

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

• LCM of 731, 842, 671, 746
• LCM of 241, 998, 148, 895
• LCM of 882, 870, 192, 140
• LCM of 779, 492, 281, 795
• LCM of 238, 334, 333, 960

1. What is the LCM of 986, 531, 792, 864?

Answer: LCM of 986, 531, 792, 864 is 276442848.

2. How to calculate the LCM of 986, 531, 792, 864?

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 986, 531, 792, 864.

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}.