Given numbers are 508,828,129,342,195

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

The LCM of 508,828,129,342,195 is 5584309380.

Find LCM of 508,828,129,342,195 with Prime Factorization

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

2 x 2 x 3 x 3 x 127 x 23 x 43 x 19 x 65 = 5584309380

Therefore, the lowest common multiple of 508,828,129,342,195 is 5584309380.

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.

508 x 828 x 129 x 342 x 195 = 3618632478240

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.

508 : 1, 2, 4, 127, 254, 508

828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

129 : 1, 3, 43, 129

342 : 1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

195 : 1, 3, 5, 13, 15, 39, 65, 195

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 508,828,129,342,195, is 1.

Now, the common factors can be found like this.

508:2x 2x 127

828:2x 2x 3x 3x 23

129:3x 43

342:2x 3x 3x 19

195:3x 5x 13

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 3x 3x 3x 3 = 648

Therefore, the value for common factors is 648.

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 = 3618632478240/(1x648)

LCM = 3618632478240/648

LCM = 5584309380

Thus, we can understand that the LCM of 508,828,129,342,195 is 5584309380.

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

• LCM of 882, 423, 501, 826, 678
• LCM of 760, 209, 104, 227, 864
• LCM of 429, 986, 582, 521, 359
• LCM of 560, 961, 612, 520, 116
• LCM of 713, 713, 851, 547, 605

1. What is the LCM of 508, 828, 129, 342, 195?

Answer: LCM of 508, 828, 129, 342, 195 is 5584309380.

2. How to calculate the LCM of 508, 828, 129, 342, 195?

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 508, 828, 129, 342, 195.

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}.