Given numbers are 314,404,331,388

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

The LCM of 314,404,331,388 is 2036482796.

Find LCM of 314,404,331,388 with Prime Factorization

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

2 x 2 x 157 x 101 x 331 x 97 = 2036482796

Therefore, the lowest common multiple of 314,404,331,388 is 2036482796.

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.

314 x 404 x 331 x 388 = 16291862368

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.

314 : 1, 2, 157, 314

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

331 : 1, 331

388 : 1, 2, 4, 97, 194, 388

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,404,331,388, is 1.

Now, the common factors can be found like this.

314:2x 157

404:2x 2x 101

331:331

388:2x 2x 97

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 2 = 8

Therefore, the value for common factors is 8.

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 = 16291862368/(1x8)

LCM = 16291862368/8

LCM = 2036482796

Thus, we can understand that the LCM of 314,404,331,388 is 2036482796.

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

• LCM of 239, 485, 492, 134
• LCM of 339, 244, 100, 426
• LCM of 600, 995, 692, 401
• LCM of 763, 221, 864, 945
• LCM of 425, 853, 594, 543

1. What is the LCM of 314, 404, 331, 388?

Answer: LCM of 314, 404, 331, 388 is 2036482796.

2. How to calculate the LCM of 314, 404, 331, 388?

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 314, 404, 331, 388.

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}.