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LCM of 491, 914, 327, 849, 801

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


Find the LCM of 491, 914, 327, 849, 801 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 491, 914, 327, 849, 801. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 491,914,327,849,801

Given numbers are 491,914,327,849,801

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

The LCM of 491,914,327,849,801 is 11088508593978.

Find LCM of 491,914,327,849,801 with Prime Factorization


3 491, 914, 327, 849, 801
491, 914, 109, 283, 267

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

3 x 491 x 914 x 109 x 283 x 267 = 11088508593978

Therefore, the lowest common multiple of 491,914,327,849,801 is 11088508593978.

LCM Formula to Find Lowest Common Multiple of 491,914,327,849,801

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.

491 x 914 x 327 x 849 x 801 = 99796577345802

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.

491 : 1, 491

914 : 1, 2, 457, 914

327 : 1, 3, 109, 327

849 : 1, 3, 283, 849

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 491,914,327,849,801, is 1.

Now, the common factors can be found like this.

491:491

914:2x 457

327:3x 109

849:3x 283

801:3x 3x 89

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

3x 3 = 9

Therefore, the value for common factors is 9.

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 = 99796577345802/(1x9)

LCM = 99796577345802/9

LCM = 11088508593978

Thus, we can understand that the LCM of 491,914,327,849,801 is 11088508593978.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 491, 914, 327, 849, 801

1. What is the LCM of 491, 914, 327, 849, 801?

Answer: LCM of 491, 914, 327, 849, 801 is 11088508593978.

2. How to calculate the LCM of 491, 914, 327, 849, 801?

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 491, 914, 327, 849, 801.

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}.