Given numbers are 129,976,288,849

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

The LCM of 129,976,288,849 is 213784992.

Find LCM of 129,976,288,849 with Prime Factorization

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

2 x 2 x 2 x 2 x 3 x 43 x 61 x 6 x 283 = 213784992

Therefore, the lowest common multiple of 129,976,288,849 is 213784992.

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.

129 x 976 x 288 x 849 = 30785038848

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.

129 : 1, 3, 43, 129

976 : 1, 2, 4, 8, 16, 61, 122, 244, 488, 976

288 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

849 : 1, 3, 283, 849

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,976,288,849, is 1.

Now, the common factors can be found like this.

129:3x 43

976:2x 2x 2x 2x 61

288:2x 2x 2x 2x 2x 3x 3

849:3x 283

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 3 = 144

Therefore, the value for common factors is 144.

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 = 30785038848/(1x144)

LCM = 30785038848/144

LCM = 213784992

Thus, we can understand that the LCM of 129,976,288,849 is 213784992.

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

• LCM of 710, 134, 770, 322
• LCM of 634, 507, 624, 457
• LCM of 189, 386, 826, 527
• LCM of 712, 565, 479, 875
• LCM of 299, 105, 301, 876

1. What is the LCM of 129, 976, 288, 849?

Answer: LCM of 129, 976, 288, 849 is 213784992.

2. How to calculate the LCM of 129, 976, 288, 849?

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 129, 976, 288, 849.

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}.