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LCM of 767, 977, 779, 855

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


Find the LCM of 767, 977, 779, 855 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 767, 977, 779, 855. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 767,977,779,855

Given numbers are 767,977,779,855

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

The LCM of 767,977,779,855 is 26268779745.

Find LCM of 767,977,779,855 with Prime Factorization


19 767, 977, 779, 855
767, 977, 41, 45

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

19 x 767 x 977 x 41 x 45 = 26268779745

Therefore, the lowest common multiple of 767,977,779,855 is 26268779745.

LCM Formula to Find Lowest Common Multiple of 767,977,779,855

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.

767 x 977 x 779 x 855 = 499106815155

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.

767 : 1, 13, 59, 767

977 : 1, 977

779 : 1, 19, 41, 779

855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 767,977,779,855, is 1.

Now, the common factors can be found like this.

767:13x 59

977:977

779:19x 41

855:3x 3x 5x 19

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

19 = 19

Therefore, the value for common factors is 19.

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 = 499106815155/(1x19)

LCM = 499106815155/19

LCM = 26268779745

Thus, we can understand that the LCM of 767,977,779,855 is 26268779745.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 767, 977, 779, 855

1. What is the LCM of 767, 977, 779, 855?

Answer: LCM of 767, 977, 779, 855 is 26268779745.

2. How to calculate the LCM of 767, 977, 779, 855?

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 767, 977, 779, 855.

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}.