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LCM of 5182, 2120

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


Find the LCM of 5182, 2120 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 5182, 2120. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 5182,2120

Given numbers are 5182,2120

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

The LCM of 5182,2120 is 5492920.

Find LCM of 5182,2120 with Prime Factorization


2 5182, 2120
2591, 1060

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

2 x 2591 x 1060 = 5492920

Therefore, the lowest common multiple of 5182,2120 is 5492920.

LCM Formula to Find Lowest Common Multiple of 5182,2120

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.

5182 x 2120 = 10985840

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.

5182 : 1, 2, 2591, 5182

2120 : 1, 2, 4, 5, 8, 10, 20, 40, 53, 106, 212, 265, 424, 530, 1060, 2120

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 5182,2120, is 2.

Now, the common factors can be found like this.

5182:2x 2591

2120:2x 2x 2x 5x 53

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 = 10985840/(2x1)

LCM = 10985840/2

LCM = 5492920

Thus, we can understand that the LCM of 5182,2120 is 5492920.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 5182, 2120

1. What is the LCM of 5182, 2120?

Answer: LCM of 5182, 2120 is 5492920.

2. How to calculate the LCM of 5182, 2120?

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 5182, 2120.

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}.