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LCM of 2041, 2743

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


Find the LCM of 2041, 2743 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 2041, 2743. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2041,2743

Given numbers are 2041,2743

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

The LCM of 2041,2743 is 430651.

Find LCM of 2041,2743 with Prime Factorization


13 2041, 2743
157, 211

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

13 x 157 x 211 = 430651

Therefore, the lowest common multiple of 2041,2743 is 430651.

LCM Formula to Find Lowest Common Multiple of 2041,2743

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.

2041 x 2743 = 5598463

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.

2041 : 1, 13, 157, 2041

2743 : 1, 13, 211, 2743

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2041,2743, is 13.

Now, the common factors can be found like this.

2041:13x 157

2743:13x 211

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 = 5598463/(13x1)

LCM = 5598463/13

LCM = 430651

Thus, we can understand that the LCM of 2041,2743 is 430651.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2041, 2743

1. What is the LCM of 2041, 2743?

Answer: LCM of 2041, 2743 is 430651.

2. How to calculate the LCM of 2041, 2743?

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 2041, 2743.

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}.