Given numbers are 363,267,431

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

The LCM of 363,267,431 is 13924317.

Find LCM of 363,267,431 with Prime Factorization

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

3 x 121 x 89 x 431 = 13924317

Therefore, the lowest common multiple of 363,267,431 is 13924317.

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.

363 x 267 x 431 = 41772951

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.

363 : 1, 3, 11, 33, 121, 363

267 : 1, 3, 89, 267

431 : 1, 431

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,267,431, is 1.

Now, the common factors can be found like this.

363:3x 11x 11

267:3x 89

431:431

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 = 41772951/(1x3)

LCM = 41772951/3

LCM = 13924317

Thus, we can understand that the LCM of 363,267,431 is 13924317.

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

• LCM of 636, 405, 756
• LCM of 364, 975, 943
• LCM of 762, 101, 301
• LCM of 332, 990, 208
• LCM of 888, 329, 128

1. What is the LCM of 363, 267, 431?

Answer: LCM of 363, 267, 431 is 13924317.

2. How to calculate the LCM of 363, 267, 431?

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 363, 267, 431.

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}.