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LCM of 311, 538, 243, 926, 926

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


Find the LCM of 311, 538, 243, 926, 926 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, 538, 243, 926, 926. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 311,538,243,926,926

Given numbers are 311,538,243,926,926

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

The LCM of 311,538,243,926,926 is 18824780862.

Find LCM of 311,538,243,926,926 with Prime Factorization


2 311, 538, 243, 926, 926
463 311, 269, 243, 463, 463
311, 269, 243, 1, 1

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

2 x 463 x 311 x 269 x 243 x 1 x 1 = 18824780862

Therefore, the lowest common multiple of 311,538,243,926,926 is 18824780862.

LCM Formula to Find Lowest Common Multiple of 311,538,243,926,926

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 538 x 243 x 926 x 926 = 34863494156424

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

538 : 1, 2, 269, 538

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

926 : 1, 2, 463, 926

926 : 1, 2, 463, 926

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,538,243,926,926, is 1.

Now, the common factors can be found like this.

311:311

538:2x 269

243:3x 3x 3x 3x 3

926:2x 463

926:2x 463

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 463 = 1852

Therefore, the value for common factors is 1852.

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 = 34863494156424/(1x1852)

LCM = 34863494156424/1852

LCM = 18824780862

Thus, we can understand that the LCM of 311,538,243,926,926 is 18824780862.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 311, 538, 243, 926, 926

1. What is the LCM of 311, 538, 243, 926, 926?

Answer: LCM of 311, 538, 243, 926, 926 is 18824780862.

2. How to calculate the LCM of 311, 538, 243, 926, 926?

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, 538, 243, 926, 926.

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}.