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LCM of 808, 206, 311, 872

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 808, 206, 311, 872 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 808, 206, 311, 872. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 808,206,311,872

Given numbers are 808,206,311,872

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

The LCM of 808,206,311,872 is 2821210376.

Find LCM of 808,206,311,872 with Prime Factorization


2 808, 206, 311, 872
2 404, 103, 311, 436
2 202, 103, 311, 218
101, 103, 311, 109

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

2 x 2 x 2 x 101 x 103 x 311 x 109 = 2821210376

Therefore, the lowest common multiple of 808,206,311,872 is 2821210376.

LCM Formula to Find Lowest Common Multiple of 808,206,311,872

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.

808 x 206 x 311 x 872 = 45139366016

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.

808 : 1, 2, 4, 8, 101, 202, 404, 808

206 : 1, 2, 103, 206

311 : 1, 311

872 : 1, 2, 4, 8, 109, 218, 436, 872

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 808,206,311,872, is 1.

Now, the common factors can be found like this.

808:2x 2x 2x 101

206:2x 103

311:311

872:2x 2x 2x 109

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 2 = 16

Therefore, the value for common factors is 16.

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 = 45139366016/(1x16)

LCM = 45139366016/16

LCM = 2821210376

Thus, we can understand that the LCM of 808,206,311,872 is 2821210376.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 808, 206, 311, 872

1. What is the LCM of 808, 206, 311, 872?

Answer: LCM of 808, 206, 311, 872 is 2821210376.

2. How to calculate the LCM of 808, 206, 311, 872?

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 808, 206, 311, 872.

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}.