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LCM of 809, 381, 635, 778

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


Find the LCM of 809, 381, 635, 778 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 809, 381, 635, 778. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 809,381,635,778

Given numbers are 809,381,635,778

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

The LCM of 809,381,635,778 is 1199010810.

Find LCM of 809,381,635,778 with Prime Factorization


127 809, 381, 635, 778
809, 3, 5, 778

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

127 x 809 x 3 x 5 x 778 = 1199010810

Therefore, the lowest common multiple of 809,381,635,778 is 1199010810.

LCM Formula to Find Lowest Common Multiple of 809,381,635,778

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.

809 x 381 x 635 x 778 = 152274372870

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.

809 : 1, 809

381 : 1, 3, 127, 381

635 : 1, 5, 127, 635

778 : 1, 2, 389, 778

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,381,635,778, is 1.

Now, the common factors can be found like this.

809:809

381:3x 127

635:5x 127

778:2x 389

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

127 = 127

Therefore, the value for common factors is 127.

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 = 152274372870/(1x127)

LCM = 152274372870/127

LCM = 1199010810

Thus, we can understand that the LCM of 809,381,635,778 is 1199010810.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 809, 381, 635, 778

1. What is the LCM of 809, 381, 635, 778?

Answer: LCM of 809, 381, 635, 778 is 1199010810.

2. How to calculate the LCM of 809, 381, 635, 778?

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 809, 381, 635, 778.

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}.