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LCM of 797, 341, 418, 869

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


Find the LCM of 797, 341, 418, 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 797, 341, 418, 869. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 797,341,418,869

Given numbers are 797,341,418,869

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

The LCM of 797,341,418,869 is 815874554.

Find LCM of 797,341,418,869 with Prime Factorization


11 797, 341, 418, 869
797, 31, 38, 79

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

11 x 797 x 31 x 38 x 79 = 815874554

Therefore, the lowest common multiple of 797,341,418,869 is 815874554.

LCM Formula to Find Lowest Common Multiple of 797,341,418,869

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.

797 x 341 x 418 x 869 = 98720821034

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.

797 : 1, 797

341 : 1, 11, 31, 341

418 : 1, 2, 11, 19, 22, 38, 209, 418

869 : 1, 11, 79, 869

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,341,418,869, is 1.

Now, the common factors can be found like this.

797:797

341:11x 31

418:2x 11x 19

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.

11x 11 = 121

Therefore, the value for common factors is 121.

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 = 98720821034/(1x121)

LCM = 98720821034/121

LCM = 815874554

Thus, we can understand that the LCM of 797,341,418,869 is 815874554.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 797, 341, 418, 869

1. What is the LCM of 797, 341, 418, 869?

Answer: LCM of 797, 341, 418, 869 is 815874554.

2. How to calculate the LCM of 797, 341, 418, 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 797, 341, 418, 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}.