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LCM of 2204, 5420

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


Find the LCM of 2204, 5420 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 2204, 5420. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2204,5420

Given numbers are 2204,5420

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

The LCM of 2204,5420 is 2986420.

Find LCM of 2204,5420 with Prime Factorization


2 2204, 5420
2 1102, 2710
551, 1355

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

2 x 2 x 551 x 1355 = 2986420

Therefore, the lowest common multiple of 2204,5420 is 2986420.

LCM Formula to Find Lowest Common Multiple of 2204,5420

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.

2204 x 5420 = 11945680

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.

2204 : 1, 2, 4, 19, 29, 38, 58, 76, 116, 551, 1102, 2204

5420 : 1, 2, 4, 5, 10, 20, 271, 542, 1084, 1355, 2710, 5420

4 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2204,5420, is 4.

Now, the common factors can be found like this.

2204:2x 2x 19x 29

5420:2x 2x 5x 271

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 = 11945680/(4x1)

LCM = 11945680/4

LCM = 2986420

Thus, we can understand that the LCM of 2204,5420 is 2986420.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2204, 5420

1. What is the LCM of 2204, 5420?

Answer: LCM of 2204, 5420 is 2986420.

2. How to calculate the LCM of 2204, 5420?

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 2204, 5420.

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}.