Given numbers are 514,491,687,114

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

The LCM of 514,491,687,114 is 3294237822.

Find LCM of 514,491,687,114 with Prime Factorization

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

2 x 3 x 257 x 491 x 229 x 19 = 3294237822

Therefore, the lowest common multiple of 514,491,687,114 is 3294237822.

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 491 x 687 x 114 = 19765426932

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

491 : 1, 491

687 : 1, 3, 229, 687

114 : 1, 2, 3, 6, 19, 38, 57, 114

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 514,491,687,114, is 1.

Now, the common factors can be found like this.

514:2x 257

491:491

687:3x 229

114:2x 3x 19

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

2x 3 = 6

Therefore, the value for common factors is 6.

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 = 19765426932/(1x6)

LCM = 19765426932/6

LCM = 3294237822

Thus, we can understand that the LCM of 514,491,687,114 is 3294237822.

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

• LCM of 710, 302, 155, 540
• LCM of 193, 424, 811, 793
• LCM of 555, 794, 530, 843
• LCM of 621, 763, 933, 147
• LCM of 160, 280, 776, 618

1. What is the LCM of 514, 491, 687, 114?

Answer: LCM of 514, 491, 687, 114 is 3294237822.

2. How to calculate the LCM of 514, 491, 687, 114?

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, 491, 687, 114.

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}.