Given numbers are 808,246,420,814

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

The LCM of 808,246,420,814 is 1415725080.

Find LCM of 808,246,420,814 with Prime Factorization

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

2 x 2 x 3 x 202 x 41 x 35 x 407 = 1415725080

Therefore, the lowest common multiple of 808,246,420,814 is 1415725080.

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.

808 x 246 x 420 x 814 = 67954803840

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.

808 : 1, 2, 4, 8, 101, 202, 404, 808

246 : 1, 2, 3, 6, 41, 82, 123, 246

420 : 1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

814 : 1, 2, 11, 22, 37, 74, 407, 814

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,246,420,814, is 2.

Now, the common factors can be found like this.

808:2x 2x 2x 101

246:2x 3x 41

420:2x 2x 3x 5x 7

814:2x 11x 37

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 3 = 24

Therefore, the value for common factors is 24.

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 = 67954803840/(2x24)

LCM = 67954803840/48

LCM = 1415725080

Thus, we can understand that the LCM of 808,246,420,814 is 1415725080.

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

• LCM of 339, 954, 200, 171
• LCM of 705, 503, 361, 245
• LCM of 725, 999, 361, 954
• LCM of 582, 504, 231, 886
• LCM of 143, 388, 594, 310

1. What is the LCM of 808, 246, 420, 814?

Answer: LCM of 808, 246, 420, 814 is 1415725080.

2. How to calculate the LCM of 808, 246, 420, 814?

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 808, 246, 420, 814.

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}.