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LCM of 3117, 2613

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


Find the LCM of 3117, 2613 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 3117, 2613. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 3117,2613

Given numbers are 3117,2613

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

The LCM of 3117,2613 is 2714907.

Find LCM of 3117,2613 with Prime Factorization


3 3117, 2613
1039, 871

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

3 x 1039 x 871 = 2714907

Therefore, the lowest common multiple of 3117,2613 is 2714907.

LCM Formula to Find Lowest Common Multiple of 3117,2613

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.

3117 x 2613 = 8144721

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.

3117 : 1, 3, 1039, 3117

2613 : 1, 3, 13, 39, 67, 201, 871, 2613

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 3117,2613, is 3.

Now, the common factors can be found like this.

3117:3x 1039

2613:3x 13x 67

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

= 1

Therefore, the value for common factors is 1.

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 = 8144721/(3x1)

LCM = 8144721/3

LCM = 2714907

Thus, we can understand that the LCM of 3117,2613 is 2714907.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 3117, 2613

1. What is the LCM of 3117, 2613?

Answer: LCM of 3117, 2613 is 2714907.

2. How to calculate the LCM of 3117, 2613?

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 3117, 2613.

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}.