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LCM of 583, 849, 891, 814

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


Find the LCM of 583, 849, 891, 814 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 583, 849, 891, 814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 583,849,891,814

Given numbers are 583,849,891,814

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

The LCM of 583,849,891,814 is 988944066.

Find LCM of 583,849,891,814 with Prime Factorization


3 583, 849, 891, 814
11 583, 283, 297, 814
53, 283, 27, 74

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

3 x 11 x 53 x 283 x 27 x 74 = 988944066

Therefore, the lowest common multiple of 583,849,891,814 is 988944066.

LCM Formula to Find Lowest Common Multiple of 583,849,891,814

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.

583 x 849 x 891 x 814 = 358986695958

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.

583 : 1, 11, 53, 583

849 : 1, 3, 283, 849

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,849,891,814, is 1.

Now, the common factors can be found like this.

583:11x 53

849:3x 283

891:3x 3x 3x 3x 11

814:2x 11x 37

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

3x 11x 11 = 363

Therefore, the value for common factors is 363.

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 = 358986695958/(1x363)

LCM = 358986695958/363

LCM = 988944066

Thus, we can understand that the LCM of 583,849,891,814 is 988944066.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 583, 849, 891, 814

1. What is the LCM of 583, 849, 891, 814?

Answer: LCM of 583, 849, 891, 814 is 988944066.

2. How to calculate the LCM of 583, 849, 891, 814?

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 583, 849, 891, 814.

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}.