Given numbers are 426,514,317

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

The LCM of 426,514,317 is 34705794.

Find LCM of 426,514,317 with Prime Factorization

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

2 x 213 x 257 x 317 = 34705794

Therefore, the lowest common multiple of 426,514,317 is 34705794.

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.

426 x 514 x 317 = 69411588

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.

426 : 1, 2, 3, 6, 71, 142, 213, 426

514 : 1, 2, 257, 514

317 : 1, 317

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 426,514,317, is 1.

Now, the common factors can be found like this.

426:2x 3x 71

514:2x 257

317:317

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

2 = 2

Therefore, the value for common factors is 2.

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 = 69411588/(1x2)

LCM = 69411588/2

LCM = 34705794

Thus, we can understand that the LCM of 426,514,317 is 34705794.

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

• LCM of 601, 379, 179
• LCM of 131, 414, 356
• LCM of 912, 294, 834
• LCM of 341, 791, 778
• LCM of 848, 575, 540

1. What is the LCM of 426, 514, 317?

Answer: LCM of 426, 514, 317 is 34705794.

2. How to calculate the LCM of 426, 514, 317?

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 426, 514, 317.

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}.