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LCM of 311, 217, 574, 538

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


Find the LCM of 311, 217, 574, 538 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, 217, 574, 538. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 311,217,574,538

Given numbers are 311,217,574,538

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

The LCM of 311,217,574,538 is 1488628246.

Find LCM of 311,217,574,538 with Prime Factorization


2 311, 217, 574, 538
7 311, 217, 287, 269
311, 31, 41, 269

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

2 x 7 x 311 x 31 x 41 x 269 = 1488628246

Therefore, the lowest common multiple of 311,217,574,538 is 1488628246.

LCM Formula to Find Lowest Common Multiple of 311,217,574,538

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 217 x 574 x 538 = 20840795444

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

217 : 1, 7, 31, 217

574 : 1, 2, 7, 14, 41, 82, 287, 574

538 : 1, 2, 269, 538

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,217,574,538, is 1.

Now, the common factors can be found like this.

311:311

217:7x 31

574:2x 7x 41

538:2x 269

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 20840795444/(1x14)

LCM = 20840795444/14

LCM = 1488628246

Thus, we can understand that the LCM of 311,217,574,538 is 1488628246.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 311, 217, 574, 538

1. What is the LCM of 311, 217, 574, 538?

Answer: LCM of 311, 217, 574, 538 is 1488628246.

2. How to calculate the LCM of 311, 217, 574, 538?

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, 217, 574, 538.

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}.