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LCM of 813, 589, 374, 766, 820

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


Find the LCM of 813, 589, 374, 766, 820 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 813, 589, 374, 766, 820. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 813,589,374,766,820

Given numbers are 813,589,374,766,820

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

The LCM of 813,589,374,766,820 is 28122898101540.

Find LCM of 813,589,374,766,820 with Prime Factorization


2 813, 589, 374, 766, 820
813, 589, 187, 383, 410

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

2 x 813 x 589 x 187 x 383 x 410 = 28122898101540

Therefore, the lowest common multiple of 813,589,374,766,820 is 28122898101540.

LCM Formula to Find Lowest Common Multiple of 813,589,374,766,820

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.

813 x 589 x 374 x 766 x 820 = 112491592406160

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.

813 : 1, 3, 271, 813

589 : 1, 19, 31, 589

374 : 1, 2, 11, 17, 22, 34, 187, 374

766 : 1, 2, 383, 766

820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,589,374,766,820, is 1.

Now, the common factors can be found like this.

813:3x 271

589:19x 31

374:2x 11x 17

766:2x 383

820:2x 2x 5x 41

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 = 112491592406160/(1x4)

LCM = 112491592406160/4

LCM = 28122898101540

Thus, we can understand that the LCM of 813,589,374,766,820 is 28122898101540.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 813, 589, 374, 766, 820

1. What is the LCM of 813, 589, 374, 766, 820?

Answer: LCM of 813, 589, 374, 766, 820 is 28122898101540.

2. How to calculate the LCM of 813, 589, 374, 766, 820?

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 813, 589, 374, 766, 820.

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}.