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LCM of 341, 408, 960, 913

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


Find the LCM of 341, 408, 960, 913 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 341, 408, 960, 913. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 341,408,960,913

Given numbers are 341,408,960,913

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

The LCM of 341,408,960,913 is 461904960.

Find LCM of 341,408,960,913 with Prime Factorization


2 341, 408, 960, 913
2 341, 204, 480, 913
2 341, 102, 240, 913
3 341, 51, 120, 913
11 341, 17, 40, 913
31, 17, 40, 83

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

2 x 2 x 2 x 3 x 11 x 31 x 17 x 40 x 83 = 461904960

Therefore, the lowest common multiple of 341,408,960,913 is 461904960.

LCM Formula to Find Lowest Common Multiple of 341,408,960,913

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.

341 x 408 x 960 x 913 = 121942909440

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.

341 : 1, 11, 31, 341

408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

913 : 1, 11, 83, 913

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 341,408,960,913, is 1.

Now, the common factors can be found like this.

341:11x 31

408:2x 2x 2x 3x 17

960:2x 2x 2x 2x 2x 2x 3x 5

913:11x 83

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

2x 2x 2x 3x 11 = 264

Therefore, the value for common factors is 264.

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 = 121942909440/(1x264)

LCM = 121942909440/264

LCM = 461904960

Thus, we can understand that the LCM of 341,408,960,913 is 461904960.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 341, 408, 960, 913

1. What is the LCM of 341, 408, 960, 913?

Answer: LCM of 341, 408, 960, 913 is 461904960.

2. How to calculate the LCM of 341, 408, 960, 913?

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 341, 408, 960, 913.

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}.