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LCM of 343, 801, 754, 795, 563

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


Find the LCM of 343, 801, 754, 795, 563 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 343, 801, 754, 795, 563. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 343,801,754,795,563

Given numbers are 343,801,754,795,563

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

The LCM of 343,801,754,795,563 is 30906672541290.

Find LCM of 343,801,754,795,563 with Prime Factorization


3 343, 801, 754, 795, 563
343, 267, 754, 265, 563

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

3 x 343 x 267 x 754 x 265 x 563 = 30906672541290

Therefore, the lowest common multiple of 343,801,754,795,563 is 30906672541290.

LCM Formula to Find Lowest Common Multiple of 343,801,754,795,563

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.

343 x 801 x 754 x 795 x 563 = 92720017623870

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.

343 : 1, 7, 49, 343

801 : 1, 3, 9, 89, 267, 801

754 : 1, 2, 13, 26, 29, 58, 377, 754

795 : 1, 3, 5, 15, 53, 159, 265, 795

563 : 1, 563

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 343,801,754,795,563, is 1.

Now, the common factors can be found like this.

343:7x 7x 7

801:3x 3x 89

754:2x 13x 29

795:3x 5x 53

563:563

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 = 92720017623870/(1x3)

LCM = 92720017623870/3

LCM = 30906672541290

Thus, we can understand that the LCM of 343,801,754,795,563 is 30906672541290.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 343, 801, 754, 795, 563

1. What is the LCM of 343, 801, 754, 795, 563?

Answer: LCM of 343, 801, 754, 795, 563 is 30906672541290.

2. How to calculate the LCM of 343, 801, 754, 795, 563?

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 343, 801, 754, 795, 563.

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}.