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LCM of 813, 880, 797, 869

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


Find the LCM of 813, 880, 797, 869 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, 880, 797, 869. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 813,880,797,869

Given numbers are 813,880,797,869

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

The LCM of 813,880,797,869 is 45046248720.

Find LCM of 813,880,797,869 with Prime Factorization


11 813, 880, 797, 869
813, 80, 797, 79

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

11 x 813 x 80 x 797 x 79 = 45046248720

Therefore, the lowest common multiple of 813,880,797,869 is 45046248720.

LCM Formula to Find Lowest Common Multiple of 813,880,797,869

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 880 x 797 x 869 = 495508735920

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

880 : 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

797 : 1, 797

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 813,880,797,869, is 1.

Now, the common factors can be found like this.

813:3x 271

880:2x 2x 2x 2x 5x 11

797:797

869:11x 79

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

11 = 11

Therefore, the value for common factors is 11.

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 = 495508735920/(1x11)

LCM = 495508735920/11

LCM = 45046248720

Thus, we can understand that the LCM of 813,880,797,869 is 45046248720.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 813, 880, 797, 869

1. What is the LCM of 813, 880, 797, 869?

Answer: LCM of 813, 880, 797, 869 is 45046248720.

2. How to calculate the LCM of 813, 880, 797, 869?

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, 880, 797, 869.

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}.