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LCM of 9404, 5020

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


Find the LCM of 9404, 5020 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 9404, 5020. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 9404,5020

Given numbers are 9404,5020

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

The LCM of 9404,5020 is 11802020.

Find LCM of 9404,5020 with Prime Factorization


2 9404, 5020
2 4702, 2510
2351, 1255

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

2 x 2 x 2351 x 1255 = 11802020

Therefore, the lowest common multiple of 9404,5020 is 11802020.

LCM Formula to Find Lowest Common Multiple of 9404,5020

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.

9404 x 5020 = 47208080

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.

9404 : 1, 2, 4, 2351, 4702, 9404

5020 : 1, 2, 4, 5, 10, 20, 251, 502, 1004, 1255, 2510, 5020

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9404,5020, is 4.

Now, the common factors can be found like this.

9404:2x 2x 2351

5020:2x 2x 5x 251

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 = 47208080/(4x1)

LCM = 47208080/4

LCM = 11802020

Thus, we can understand that the LCM of 9404,5020 is 11802020.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 9404, 5020

1. What is the LCM of 9404, 5020?

Answer: LCM of 9404, 5020 is 11802020.

2. How to calculate the LCM of 9404, 5020?

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 9404, 5020.

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}.