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LCM of 6897, 5487

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


Find the LCM of 6897, 5487 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 6897, 5487. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6897,5487

Given numbers are 6897,5487

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

The LCM of 6897,5487 is 12614613.

Find LCM of 6897,5487 with Prime Factorization


3 6897, 5487
2299, 1829

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

3 x 2299 x 1829 = 12614613

Therefore, the lowest common multiple of 6897,5487 is 12614613.

LCM Formula to Find Lowest Common Multiple of 6897,5487

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.

6897 x 5487 = 37843839

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.

6897 : 1, 3, 11, 19, 33, 57, 121, 209, 363, 627, 2299, 6897

5487 : 1, 3, 31, 59, 93, 177, 1829, 5487

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6897,5487, is 3.

Now, the common factors can be found like this.

6897:3x 11x 11x 19

5487:3x 31x 59

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 = 37843839/(3x1)

LCM = 37843839/3

LCM = 12614613

Thus, we can understand that the LCM of 6897,5487 is 12614613.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6897, 5487

1. What is the LCM of 6897, 5487?

Answer: LCM of 6897, 5487 is 12614613.

2. How to calculate the LCM of 6897, 5487?

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 6897, 5487.

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}.