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LCM of 311, 958, 916, 477

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


Find the LCM of 311, 958, 916, 477 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 311, 958, 916, 477. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 311,958,916,477

Given numbers are 311,958,916,477

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

The LCM of 311,958,916,477 is 65089323108.

Find LCM of 311,958,916,477 with Prime Factorization


2 311, 958, 916, 477
311, 479, 458, 477

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

2 x 311 x 479 x 458 x 477 = 65089323108

Therefore, the lowest common multiple of 311,958,916,477 is 65089323108.

LCM Formula to Find Lowest Common Multiple of 311,958,916,477

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.

311 x 958 x 916 x 477 = 130178646216

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.

311 : 1, 311

958 : 1, 2, 479, 958

916 : 1, 2, 4, 229, 458, 916

477 : 1, 3, 9, 53, 159, 477

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,958,916,477, is 1.

Now, the common factors can be found like this.

311:311

958:2x 479

916:2x 2x 229

477:3x 3x 53

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

2 = 2

Therefore, the value for common factors is 2.

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 = 130178646216/(1x2)

LCM = 130178646216/2

LCM = 65089323108

Thus, we can understand that the LCM of 311,958,916,477 is 65089323108.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 311, 958, 916, 477

1. What is the LCM of 311, 958, 916, 477?

Answer: LCM of 311, 958, 916, 477 is 65089323108.

2. How to calculate the LCM of 311, 958, 916, 477?

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 311, 958, 916, 477.

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}.