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LCM of 779, 704, 575, 138

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


Find the LCM of 779, 704, 575, 138 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 779, 704, 575, 138. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 779,704,575,138

Given numbers are 779,704,575,138

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

The LCM of 779,704,575,138 is 946017600.

Find LCM of 779,704,575,138 with Prime Factorization


2 779, 704, 575, 138
23 779, 352, 575, 69
779, 352, 25, 3

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

2 x 23 x 779 x 352 x 25 x 3 = 946017600

Therefore, the lowest common multiple of 779,704,575,138 is 946017600.

LCM Formula to Find Lowest Common Multiple of 779,704,575,138

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.

779 x 704 x 575 x 138 = 43516809600

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.

779 : 1, 19, 41, 779

704 : 1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

575 : 1, 5, 23, 25, 115, 575

138 : 1, 2, 3, 6, 23, 46, 69, 138

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 779,704,575,138, is 1.

Now, the common factors can be found like this.

779:19x 41

704:2x 2x 2x 2x 2x 2x 11

575:5x 5x 23

138:2x 3x 23

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

2x 23 = 46

Therefore, the value for common factors is 46.

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 = 43516809600/(1x46)

LCM = 43516809600/46

LCM = 946017600

Thus, we can understand that the LCM of 779,704,575,138 is 946017600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 779, 704, 575, 138

1. What is the LCM of 779, 704, 575, 138?

Answer: LCM of 779, 704, 575, 138 is 946017600.

2. How to calculate the LCM of 779, 704, 575, 138?

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 779, 704, 575, 138.

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}.