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LCM of 311, 923, 338, 919

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


Find the LCM of 311, 923, 338, 919 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, 923, 338, 919. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 311,923,338,919

Given numbers are 311,923,338,919

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

The LCM of 311,923,338,919 is 6858844382.

Find LCM of 311,923,338,919 with Prime Factorization


13 311, 923, 338, 919
311, 71, 26, 919

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

13 x 311 x 71 x 26 x 919 = 6858844382

Therefore, the lowest common multiple of 311,923,338,919 is 6858844382.

LCM Formula to Find Lowest Common Multiple of 311,923,338,919

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 923 x 338 x 919 = 89164976966

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

923 : 1, 13, 71, 923

338 : 1, 2, 13, 26, 169, 338

919 : 1, 919

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,923,338,919, is 1.

Now, the common factors can be found like this.

311:311

923:13x 71

338:2x 13x 13

919:919

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

13 = 13

Therefore, the value for common factors is 13.

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 = 89164976966/(1x13)

LCM = 89164976966/13

LCM = 6858844382

Thus, we can understand that the LCM of 311,923,338,919 is 6858844382.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 311, 923, 338, 919

1. What is the LCM of 311, 923, 338, 919?

Answer: LCM of 311, 923, 338, 919 is 6858844382.

2. How to calculate the LCM of 311, 923, 338, 919?

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, 923, 338, 919.

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}.