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LCM of 764, 722, 778, 878

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


Find the LCM of 764, 722, 778, 878 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 764, 722, 778, 878. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 764,722,778,878

Given numbers are 764,722,778,878

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

The LCM of 764,722,778,878 is 47099324884.

Find LCM of 764,722,778,878 with Prime Factorization


2 764, 722, 778, 878
382, 361, 389, 439

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

2 x 382 x 361 x 389 x 439 = 47099324884

Therefore, the lowest common multiple of 764,722,778,878 is 47099324884.

LCM Formula to Find Lowest Common Multiple of 764,722,778,878

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.

764 x 722 x 778 x 878 = 376794599072

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.

764 : 1, 2, 4, 191, 382, 764

722 : 1, 2, 19, 38, 361, 722

778 : 1, 2, 389, 778

878 : 1, 2, 439, 878

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 764,722,778,878, is 2.

Now, the common factors can be found like this.

764:2x 2x 191

722:2x 19x 19

778:2x 389

878:2x 439

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 376794599072/(2x4)

LCM = 376794599072/8

LCM = 47099324884

Thus, we can understand that the LCM of 764,722,778,878 is 47099324884.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 764, 722, 778, 878

1. What is the LCM of 764, 722, 778, 878?

Answer: LCM of 764, 722, 778, 878 is 47099324884.

2. How to calculate the LCM of 764, 722, 778, 878?

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 764, 722, 778, 878.

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}.