Given numbers are 314,620,454,214

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

The LCM of 314,620,454,214 is 2364291260.

Find LCM of 314,620,454,214 with Prime Factorization

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

2 x 157 x 310 x 227 x 107 = 2364291260

Therefore, the lowest common multiple of 314,620,454,214 is 2364291260.

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 620 x 454 x 214 = 18914330080

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

620 : 1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620

454 : 1, 2, 227, 454

214 : 1, 2, 107, 214

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 314,620,454,214, is 2.

Now, the common factors can be found like this.

314:2x 157

620:2x 2x 5x 31

454:2x 227

214:2x 107

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 = 18914330080/(2x4)

LCM = 18914330080/8

LCM = 2364291260

Thus, we can understand that the LCM of 314,620,454,214 is 2364291260.

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

• LCM of 819, 348, 442, 451
• LCM of 615, 653, 518, 797
• LCM of 813, 251, 546, 174
• LCM of 781, 293, 596, 459
• LCM of 324, 322, 430, 222

1. What is the LCM of 314, 620, 454, 214?

Answer: LCM of 314, 620, 454, 214 is 2364291260.

2. How to calculate the LCM of 314, 620, 454, 214?

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, 620, 454, 214.

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}.