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LCM of 6, 729, 328, 779

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


Find the LCM of 6, 729, 328, 779 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 6, 729, 328, 779. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6,729,328,779

Given numbers are 6,729,328,779

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

The LCM of 6,729,328,779 is 4543128.

Find LCM of 6,729,328,779 with Prime Factorization


2 6, 729, 328, 779
3 3, 729, 164, 779
41 1, 243, 164, 779
1, 243, 4, 19

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

2 x 3 x 41 x 1 x 243 x 4 x 19 = 4543128

Therefore, the lowest common multiple of 6,729,328,779 is 4543128.

LCM Formula to Find Lowest Common Multiple of 6,729,328,779

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.

6 x 729 x 328 x 779 = 1117609488

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.

6 : 1, 2, 3, 6

729 : 1, 3, 9, 27, 81, 243, 729

328 : 1, 2, 4, 8, 41, 82, 164, 328

779 : 1, 19, 41, 779

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6,729,328,779, is 1.

Now, the common factors can be found like this.

6:2x 3

729:3x 3x 3x 3x 3x 3

328:2x 2x 2x 41

779:19x 41

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

2x 3x 41 = 246

Therefore, the value for common factors is 246.

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 = 1117609488/(1x246)

LCM = 1117609488/246

LCM = 4543128

Thus, we can understand that the LCM of 6,729,328,779 is 4543128.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 6, 729, 328, 779

1. What is the LCM of 6, 729, 328, 779?

Answer: LCM of 6, 729, 328, 779 is 4543128.

2. How to calculate the LCM of 6, 729, 328, 779?

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 6, 729, 328, 779.

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}.