Given numbers are 493,914,352,808

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

The LCM of 493,914,352,808 is 8009901152.

Find LCM of 493,914,352,808 with Prime Factorization

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

2 x 2 x 2 x 493 x 457 x 44 x 101 = 8009901152

Therefore, the lowest common multiple of 493,914,352,808 is 8009901152.

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.

493 x 914 x 352 x 808 = 128158418432

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.

493 : 1, 17, 29, 493

914 : 1, 2, 457, 914

352 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

808 : 1, 2, 4, 8, 101, 202, 404, 808

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 493,914,352,808, is 1.

Now, the common factors can be found like this.

493:17x 29

914:2x 457

352:2x 2x 2x 2x 2x 11

808:2x 2x 2x 101

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

2x 2x 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 128158418432/(1x16)

LCM = 128158418432/16

LCM = 8009901152

Thus, we can understand that the LCM of 493,914,352,808 is 8009901152.

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

• LCM of 877, 593, 836, 799
• LCM of 734, 532, 814, 220
• LCM of 658, 825, 847, 799
• LCM of 130, 228, 621, 660
• LCM of 496, 874, 947, 989

1. What is the LCM of 493, 914, 352, 808?

Answer: LCM of 493, 914, 352, 808 is 8009901152.

2. How to calculate the LCM of 493, 914, 352, 808?

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 493, 914, 352, 808.

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}.