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LCM of 872, 583, 849, 652

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


Find the LCM of 872, 583, 849, 652 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 872, 583, 849, 652. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 872,583,849,652

Given numbers are 872,583,849,652

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

The LCM of 872,583,849,652 is 70352629512.

Find LCM of 872,583,849,652 with Prime Factorization


2 872, 583, 849, 652
2 436, 583, 849, 326
218, 583, 849, 163

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

2 x 2 x 218 x 583 x 849 x 163 = 70352629512

Therefore, the lowest common multiple of 872,583,849,652 is 70352629512.

LCM Formula to Find Lowest Common Multiple of 872,583,849,652

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.

872 x 583 x 849 x 652 = 281410518048

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.

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

583 : 1, 11, 53, 583

849 : 1, 3, 283, 849

652 : 1, 2, 4, 163, 326, 652

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 872,583,849,652, is 1.

Now, the common factors can be found like this.

872:2x 2x 2x 109

583:11x 53

849:3x 283

652:2x 2x 163

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 281410518048/(1x4)

LCM = 281410518048/4

LCM = 70352629512

Thus, we can understand that the LCM of 872,583,849,652 is 70352629512.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 872, 583, 849, 652

1. What is the LCM of 872, 583, 849, 652?

Answer: LCM of 872, 583, 849, 652 is 70352629512.

2. How to calculate the LCM of 872, 583, 849, 652?

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 872, 583, 849, 652.

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}.