Given numbers are 135,608,172,988,836

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

The LCM of 135,608,172,988,836 is 504709920.

Find LCM of 135,608,172,988,836 with Prime Factorization

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

2 x 2 x 19 x 135 x 8 x 43 x 13 x 11 = 504709920

Therefore, the lowest common multiple of 135,608,172,988,836 is 504709920.

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.

135 x 608 x 172 x 988 x 836 = 11660817991680

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.

135 : 1, 3, 5, 9, 15, 27, 45, 135

608 : 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

172 : 1, 2, 4, 43, 86, 172

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

836 : 1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 135,608,172,988,836, is 1.

Now, the common factors can be found like this.

135:3x 3x 3x 5

608:2x 2x 2x 2x 2x 19

172:2x 2x 43

988:2x 2x 13x 19

836:2x 2x 11x 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 2x 2x 2x 2x 2x 19x 19 = 23104

Therefore, the value for common factors is 23104.

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 = 11660817991680/(1x23104)

LCM = 11660817991680/23104

LCM = 504709920

Thus, we can understand that the LCM of 135,608,172,988,836 is 504709920.

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

• LCM of 472, 214, 954, 423, 771
• LCM of 214, 220, 464, 501, 847
• LCM of 561, 966, 186, 166, 471
• LCM of 729, 428, 952, 804, 704
• LCM of 809, 391, 372, 926, 404

1. What is the LCM of 135, 608, 172, 988, 836?

Answer: LCM of 135, 608, 172, 988, 836 is 504709920.

2. How to calculate the LCM of 135, 608, 172, 988, 836?

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 135, 608, 172, 988, 836.

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}.