Given numbers are 309,431,399

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

The LCM of 309,431,399 is 17712807.

Find LCM of 309,431,399 with Prime Factorization

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

3 x 103 x 431 x 133 = 17712807

Therefore, the lowest common multiple of 309,431,399 is 17712807.

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.

309 x 431 x 399 = 53138421

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.

309 : 1, 3, 103, 309

431 : 1, 431

399 : 1, 3, 7, 19, 21, 57, 133, 399

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,431,399, is 1.

Now, the common factors can be found like this.

309:3x 103

431:431

399:3x 7x 19

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

3 = 3

Therefore, the value for common factors is 3.

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 = 53138421/(1x3)

LCM = 53138421/3

LCM = 17712807

Thus, we can understand that the LCM of 309,431,399 is 17712807.

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

• LCM of 743, 411, 731
• LCM of 712, 790, 945
• LCM of 842, 389, 374
• LCM of 117, 190, 736
• LCM of 338, 877, 503

1. What is the LCM of 309, 431, 399?

Answer: LCM of 309, 431, 399 is 17712807.

2. How to calculate the LCM of 309, 431, 399?

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 309, 431, 399.

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}.