Given numbers are 814,253,311

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

The LCM of 814,253,311 is 5822542.

Find LCM of 814,253,311 with Prime Factorization

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

11 x 74 x 23 x 311 = 5822542

Therefore, the lowest common multiple of 814,253,311 is 5822542.

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.

814 x 253 x 311 = 64047962

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.

814 : 1, 2, 11, 22, 37, 74, 407, 814

253 : 1, 11, 23, 253

311 : 1, 311

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 814,253,311, is 1.

Now, the common factors can be found like this.

814:2x 11x 37

253:11x 23

311:311

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

11 = 11

Therefore, the value for common factors is 11.

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 = 64047962/(1x11)

LCM = 64047962/11

LCM = 5822542

Thus, we can understand that the LCM of 814,253,311 is 5822542.

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

• LCM of 459, 245, 131
• LCM of 171, 834, 393
• LCM of 715, 367, 536
• LCM of 138, 521, 493
• LCM of 978, 227, 176

1. What is the LCM of 814, 253, 311?

Answer: LCM of 814, 253, 311 is 5822542.

2. How to calculate the LCM of 814, 253, 311?

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 814, 253, 311.

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}.