Given numbers are 408,419,596,317

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

The LCM of 408,419,596,317 is 8074575816.

Find LCM of 408,419,596,317 with Prime Factorization

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

2 x 2 x 102 x 419 x 149 x 317 = 8074575816

Therefore, the lowest common multiple of 408,419,596,317 is 8074575816.

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.

408 x 419 x 596 x 317 = 32298303264

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.

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

419 : 1, 419

596 : 1, 2, 4, 149, 298, 596

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 408,419,596,317, is 1.

Now, the common factors can be found like this.

408:2x 2x 2x 3x 17

419:419

596:2x 2x 149

317:317

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 32298303264/(1x4)

LCM = 32298303264/4

LCM = 8074575816

Thus, we can understand that the LCM of 408,419,596,317 is 8074575816.

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

• LCM of 102, 974, 602, 810
• LCM of 816, 245, 741, 349
• LCM of 230, 530, 680, 200
• LCM of 197, 219, 575, 522
• LCM of 730, 493, 736, 825

1. What is the LCM of 408, 419, 596, 317?

Answer: LCM of 408, 419, 596, 317 is 8074575816.

2. How to calculate the LCM of 408, 419, 596, 317?

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 408, 419, 596, 317.

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}.