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LCM of 313, 579, 939, 656

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


Find the LCM of 313, 579, 939, 656 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 313, 579, 939, 656. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 313,579,939,656

Given numbers are 313,579,939,656

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

The LCM of 313,579,939,656 is 118884912.

Find LCM of 313,579,939,656 with Prime Factorization


3 313, 579, 939, 656
313 313, 193, 313, 656
1, 193, 1, 656

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

3 x 313 x 1 x 193 x 1 x 656 = 118884912

Therefore, the lowest common multiple of 313,579,939,656 is 118884912.

LCM Formula to Find Lowest Common Multiple of 313,579,939,656

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.

313 x 579 x 939 x 656 = 111632932368

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.

313 : 1, 313

579 : 1, 3, 193, 579

939 : 1, 3, 313, 939

656 : 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 313,579,939,656, is 1.

Now, the common factors can be found like this.

313:313

579:3x 193

939:3x 313

656:2x 2x 2x 2x 41

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

3x 313 = 939

Therefore, the value for common factors is 939.

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 = 111632932368/(1x939)

LCM = 111632932368/939

LCM = 118884912

Thus, we can understand that the LCM of 313,579,939,656 is 118884912.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 313, 579, 939, 656

1. What is the LCM of 313, 579, 939, 656?

Answer: LCM of 313, 579, 939, 656 is 118884912.

2. How to calculate the LCM of 313, 579, 939, 656?

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 313, 579, 939, 656.

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}.