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LCM of 2817, 5321

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


Find the LCM of 2817, 5321 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 2817, 5321. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 2817,5321

Given numbers are 2817,5321

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

The LCM of 2817,5321 is 47889.

Find LCM of 2817,5321 with Prime Factorization


313 2817, 5321
9, 17

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

313 x 9 x 17 = 47889

Therefore, the lowest common multiple of 2817,5321 is 47889.

LCM Formula to Find Lowest Common Multiple of 2817,5321

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.

2817 x 5321 = 14989257

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.

2817 : 1, 3, 9, 313, 939, 2817

5321 : 1, 17, 313, 5321

313 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 2817,5321, is 313.

Now, the common factors can be found like this.

2817:3x 3x 313

5321:17x 313

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 = 14989257/(313x1)

LCM = 14989257/313

LCM = 47889

Thus, we can understand that the LCM of 2817,5321 is 47889.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 2817, 5321

1. What is the LCM of 2817, 5321?

Answer: LCM of 2817, 5321 is 47889.

2. How to calculate the LCM of 2817, 5321?

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 2817, 5321.

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}.