Given numbers are 308,872,204,408,867

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

The LCM of 308,872,204,408,867 is 58213848.

Find LCM of 308,872,204,408,867 with Prime Factorization

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

2 x 2 x 2 x 3 x 17 x 77 x 109 x 1 x 1 x 17 = 58213848

Therefore, the lowest common multiple of 308,872,204,408,867 is 58213848.

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.

308 x 872 x 204 x 408 x 867 = 19381019986944

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.

308 : 1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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

204 : 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

867 : 1, 3, 17, 51, 289, 867

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 308,872,204,408,867, is 1.

Now, the common factors can be found like this.

308:2x 2x 7x 11

872:2x 2x 2x 109

204:2x 2x 3x 17

408:2x 2x 2x 3x 17

867:3x 17x 17

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 2x 2x 2x 3x 3x 17x 17 = 332928

Therefore, the value for common factors is 332928.

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 = 19381019986944/(1x332928)

LCM = 19381019986944/332928

LCM = 58213848

Thus, we can understand that the LCM of 308,872,204,408,867 is 58213848.

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

• LCM of 642, 233, 353, 656, 928
• LCM of 191, 399, 604, 543, 371
• LCM of 700, 948, 826, 540, 999
• LCM of 829, 727, 945, 710, 969
• LCM of 643, 103, 725, 565, 858

1. What is the LCM of 308, 872, 204, 408, 867?

Answer: LCM of 308, 872, 204, 408, 867 is 58213848.

2. How to calculate the LCM of 308, 872, 204, 408, 867?

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 308, 872, 204, 408, 867.

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}.