Given numbers are 514,591,213,696

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

The LCM of 514,591,213,696 is 2501882664.

Find LCM of 514,591,213,696 with Prime Factorization

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

2 x 3 x 257 x 197 x 71 x 116 = 2501882664

Therefore, the lowest common multiple of 514,591,213,696 is 2501882664.

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.

514 x 591 x 213 x 696 = 45033887952

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.

514 : 1, 2, 257, 514

591 : 1, 3, 197, 591

213 : 1, 3, 71, 213

696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,591,213,696, is 1.

Now, the common factors can be found like this.

514:2x 257

591:3x 197

213:3x 71

696:2x 2x 2x 3x 29

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

2x 3x 3 = 18

Therefore, the value for common factors is 18.

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 = 45033887952/(1x18)

LCM = 45033887952/18

LCM = 2501882664

Thus, we can understand that the LCM of 514,591,213,696 is 2501882664.

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

• LCM of 240, 187, 413, 512
• LCM of 530, 127, 383, 429
• LCM of 166, 372, 395, 817
• LCM of 635, 219, 518, 845
• LCM of 323, 193, 393, 500

1. What is the LCM of 514, 591, 213, 696?

Answer: LCM of 514, 591, 213, 696 is 2501882664.

2. How to calculate the LCM of 514, 591, 213, 696?

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 514, 591, 213, 696.

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}.