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LCM of 583, 849, 873, 920

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


Find the LCM of 583, 849, 873, 920 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, 873, 920. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 583,849,873,920

Given numbers are 583,849,873,920

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

The LCM of 583,849,873,920 is 132512565240.

Find LCM of 583,849,873,920 with Prime Factorization


3 583, 849, 873, 920
583, 283, 291, 920

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

3 x 583 x 283 x 291 x 920 = 132512565240

Therefore, the lowest common multiple of 583,849,873,920 is 132512565240.

LCM Formula to Find Lowest Common Multiple of 583,849,873,920

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 873 x 920 = 397537695720

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

873 : 1, 3, 9, 97, 291, 873

920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 583,849,873,920, is 1.

Now, the common factors can be found like this.

583:11x 53

849:3x 283

873:3x 3x 97

920:2x 2x 2x 5x 23

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 = 397537695720/(1x3)

LCM = 397537695720/3

LCM = 132512565240

Thus, we can understand that the LCM of 583,849,873,920 is 132512565240.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 583, 849, 873, 920

1. What is the LCM of 583, 849, 873, 920?

Answer: LCM of 583, 849, 873, 920 is 132512565240.

2. How to calculate the LCM of 583, 849, 873, 920?

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, 873, 920.

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}.