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LCM of 2541, 4767

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


Find the LCM of 2541, 4767 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 2541, 4767. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2541,4767

Given numbers are 2541,4767

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

The LCM of 2541,4767 is 576807.

Find LCM of 2541,4767 with Prime Factorization


3 2541, 4767
7 847, 1589
121, 227

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

3 x 7 x 121 x 227 = 576807

Therefore, the lowest common multiple of 2541,4767 is 576807.

LCM Formula to Find Lowest Common Multiple of 2541,4767

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.

2541 x 4767 = 12112947

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.

2541 : 1, 3, 7, 11, 21, 33, 77, 121, 231, 363, 847, 2541

4767 : 1, 3, 7, 21, 227, 681, 1589, 4767

21 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2541,4767, is 21.

Now, the common factors can be found like this.

2541:3x 7x 11x 11

4767:3x 7x 227

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 = 12112947/(21x1)

LCM = 12112947/21

LCM = 576807

Thus, we can understand that the LCM of 2541,4767 is 576807.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2541, 4767

1. What is the LCM of 2541, 4767?

Answer: LCM of 2541, 4767 is 576807.

2. How to calculate the LCM of 2541, 4767?

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 2541, 4767.

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}.