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LCM of 6927, 7251

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


Find the LCM of 6927, 7251 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 6927, 7251. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 6927,7251

Given numbers are 6927,7251

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

The LCM of 6927,7251 is 16742559.

Find LCM of 6927,7251 with Prime Factorization


3 6927, 7251
2309, 2417

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

3 x 2309 x 2417 = 16742559

Therefore, the lowest common multiple of 6927,7251 is 16742559.

LCM Formula to Find Lowest Common Multiple of 6927,7251

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.

6927 x 7251 = 50227677

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.

6927 : 1, 3, 2309, 6927

7251 : 1, 3, 2417, 7251

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 6927,7251, is 3.

Now, the common factors can be found like this.

6927:3x 2309

7251:3x 2417

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 = 50227677/(3x1)

LCM = 50227677/3

LCM = 16742559

Thus, we can understand that the LCM of 6927,7251 is 16742559.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 6927, 7251

1. What is the LCM of 6927, 7251?

Answer: LCM of 6927, 7251 is 16742559.

2. How to calculate the LCM of 6927, 7251?

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 6927, 7251.

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}.