Given numbers are 311,546,135,857

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

The LCM of 311,546,135,857 is 6548568390.

Find LCM of 311,546,135,857 with Prime Factorization

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

3 x 311 x 182 x 45 x 857 = 6548568390

Therefore, the lowest common multiple of 311,546,135,857 is 6548568390.

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.

311 x 546 x 135 x 857 = 19645705170

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.

311 : 1, 311

546 : 1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

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

857 : 1, 857

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,546,135,857, is 1.

Now, the common factors can be found like this.

311:311

546:2x 3x 7x 13

135:3x 3x 3x 5

857:857

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

3 = 3

Therefore, the value for common factors is 3.

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 = 19645705170/(1x3)

LCM = 19645705170/3

LCM = 6548568390

Thus, we can understand that the LCM of 311,546,135,857 is 6548568390.

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

• LCM of 131, 825, 971, 953
• LCM of 443, 428, 140, 838
• LCM of 502, 674, 328, 750
• LCM of 393, 975, 215, 580
• LCM of 612, 717, 732, 775

1. What is the LCM of 311, 546, 135, 857?

Answer: LCM of 311, 546, 135, 857 is 6548568390.

2. How to calculate the LCM of 311, 546, 135, 857?

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 311, 546, 135, 857.

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}.