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LCM of 797, 767, 687, 891, 586

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


Find the LCM of 797, 767, 687, 891, 586 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, 767, 687, 891, 586. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 797,767,687,891,586

Given numbers are 797,767,687,891,586

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

The LCM of 797,767,687,891,586 is 73091098283346.

Find LCM of 797,767,687,891,586 with Prime Factorization


3 797, 767, 687, 891, 586
797, 767, 229, 297, 586

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

3 x 797 x 767 x 229 x 297 x 586 = 73091098283346

Therefore, the lowest common multiple of 797,767,687,891,586 is 73091098283346.

LCM Formula to Find Lowest Common Multiple of 797,767,687,891,586

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 767 x 687 x 891 x 586 = 219273294850038

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

767 : 1, 13, 59, 767

687 : 1, 3, 229, 687

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

586 : 1, 2, 293, 586

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 797,767,687,891,586, is 1.

Now, the common factors can be found like this.

797:797

767:13x 59

687:3x 229

891:3x 3x 3x 3x 11

586:2x 293

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 = 219273294850038/(1x3)

LCM = 219273294850038/3

LCM = 73091098283346

Thus, we can understand that the LCM of 797,767,687,891,586 is 73091098283346.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 797, 767, 687, 891, 586

1. What is the LCM of 797, 767, 687, 891, 586?

Answer: LCM of 797, 767, 687, 891, 586 is 73091098283346.

2. How to calculate the LCM of 797, 767, 687, 891, 586?

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, 767, 687, 891, 586.

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}.