Given numbers are 809,458,458,214

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

The LCM of 809,458,458,214 is 39645854.

Find LCM of 809,458,458,214 with Prime Factorization

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

2 x 229 x 809 x 1 x 1 x 107 = 39645854

Therefore, the lowest common multiple of 809,458,458,214 is 39645854.

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.

809 x 458 x 458 x 214 = 36315602264

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.

809 : 1, 809

458 : 1, 2, 229, 458

458 : 1, 2, 229, 458

214 : 1, 2, 107, 214

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,458,458,214, is 1.

Now, the common factors can be found like this.

809:809

458:2x 229

458:2x 229

214:2x 107

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 229 = 916

Therefore, the value for common factors is 916.

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 = 36315602264/(1x916)

LCM = 36315602264/916

LCM = 39645854

Thus, we can understand that the LCM of 809,458,458,214 is 39645854.

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

• LCM of 743, 903, 713, 523
• LCM of 508, 369, 126, 311
• LCM of 659, 845, 912, 948
• LCM of 584, 643, 584, 685
• LCM of 585, 330, 402, 842

1. What is the LCM of 809, 458, 458, 214?

Answer: LCM of 809, 458, 458, 214 is 39645854.

2. How to calculate the LCM of 809, 458, 458, 214?

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 809, 458, 458, 214.

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}.