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LCM of 7891, 8814

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


Find the LCM of 7891, 8814 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 7891, 8814. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 7891,8814

Given numbers are 7891,8814

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

The LCM of 7891,8814 is 5350098.

Find LCM of 7891,8814 with Prime Factorization


13 7891, 8814
607, 678

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

13 x 607 x 678 = 5350098

Therefore, the lowest common multiple of 7891,8814 is 5350098.

LCM Formula to Find Lowest Common Multiple of 7891,8814

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.

7891 x 8814 = 69551274

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.

7891 : 1, 13, 607, 7891

8814 : 1, 2, 3, 6, 13, 26, 39, 78, 113, 226, 339, 678, 1469, 2938, 4407, 8814

13 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 7891,8814, is 13.

Now, the common factors can be found like this.

7891:13x 607

8814:2x 3x 13x 113

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 = 69551274/(13x1)

LCM = 69551274/13

LCM = 5350098

Thus, we can understand that the LCM of 7891,8814 is 5350098.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 7891, 8814

1. What is the LCM of 7891, 8814?

Answer: LCM of 7891, 8814 is 5350098.

2. How to calculate the LCM of 7891, 8814?

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 7891, 8814.

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}.