Given numbers are 454,214,331,412

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

The LCM of 454,214,331,412 is 3312339508.

Find LCM of 454,214,331,412 with Prime Factorization

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

2 x 227 x 107 x 331 x 206 = 3312339508

Therefore, the lowest common multiple of 454,214,331,412 is 3312339508.

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.

454 x 214 x 331 x 412 = 13249358032

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.

454 : 1, 2, 227, 454

214 : 1, 2, 107, 214

331 : 1, 331

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 454,214,331,412, is 1.

Now, the common factors can be found like this.

454:2x 227

214:2x 107

331:331

412:2x 2x 103

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 = 13249358032/(1x4)

LCM = 13249358032/4

LCM = 3312339508

Thus, we can understand that the LCM of 454,214,331,412 is 3312339508.

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

• LCM of 464, 542, 939, 471
• LCM of 732, 783, 886, 916
• LCM of 896, 850, 809, 249
• LCM of 713, 572, 277, 531
• LCM of 519, 924, 423, 542

1. What is the LCM of 454, 214, 331, 412?

Answer: LCM of 454, 214, 331, 412 is 3312339508.

2. How to calculate the LCM of 454, 214, 331, 412?

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 454, 214, 331, 412.

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}.