Given numbers are 497,514,638,414

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

The LCM of 497,514,638,414 is 16868658114.

Find LCM of 497,514,638,414 with Prime Factorization

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

2 x 497 x 257 x 319 x 207 = 16868658114

Therefore, the lowest common multiple of 497,514,638,414 is 16868658114.

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.

497 x 514 x 638 x 414 = 67474632456

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.

497 : 1, 7, 71, 497

514 : 1, 2, 257, 514

638 : 1, 2, 11, 22, 29, 58, 319, 638

414 : 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 497,514,638,414, is 1.

Now, the common factors can be found like this.

497:7x 71

514:2x 257

638:2x 11x 29

414:2x 3x 3x 23

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 = 67474632456/(1x4)

LCM = 67474632456/4

LCM = 16868658114

Thus, we can understand that the LCM of 497,514,638,414 is 16868658114.

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

• LCM of 207, 126, 500, 314
• LCM of 151, 220, 240, 356
• LCM of 997, 619, 208, 749
• LCM of 811, 443, 636, 404
• LCM of 551, 361, 272, 698

1. What is the LCM of 497, 514, 638, 414?

Answer: LCM of 497, 514, 638, 414 is 16868658114.

2. How to calculate the LCM of 497, 514, 638, 414?

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 497, 514, 638, 414.

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}.