Given numbers are 129,309,408,813

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

The LCM of 129,309,408,813 is 489705672.

Find LCM of 129,309,408,813 with Prime Factorization

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

3 x 43 x 103 x 136 x 271 = 489705672

Therefore, the lowest common multiple of 129,309,408,813 is 489705672.

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.

129 x 309 x 408 x 813 = 13222053144

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.

129 : 1, 3, 43, 129

309 : 1, 3, 103, 309

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

813 : 1, 3, 271, 813

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 129,309,408,813, is 3.

Now, the common factors can be found like this.

129:3x 43

309:3x 103

408:2x 2x 2x 3x 17

813:3x 271

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 13222053144/(3x9)

LCM = 13222053144/27

LCM = 489705672

Thus, we can understand that the LCM of 129,309,408,813 is 489705672.

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

• LCM of 387, 343, 226, 100
• LCM of 464, 969, 165, 402
• LCM of 817, 752, 894, 954
• LCM of 847, 922, 658, 781
• LCM of 927, 388, 944, 257

1. What is the LCM of 129, 309, 408, 813?

Answer: LCM of 129, 309, 408, 813 is 489705672.

2. How to calculate the LCM of 129, 309, 408, 813?

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 129, 309, 408, 813.

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}.