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LCM of 8829, 5763

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


Find the LCM of 8829, 5763 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 8829, 5763. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8829,5763

Given numbers are 8829,5763

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

The LCM of 8829,5763 is 16960509.

Find LCM of 8829,5763 with Prime Factorization


3 8829, 5763
2943, 1921

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

3 x 2943 x 1921 = 16960509

Therefore, the lowest common multiple of 8829,5763 is 16960509.

LCM Formula to Find Lowest Common Multiple of 8829,5763

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.

8829 x 5763 = 50881527

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.

8829 : 1, 3, 9, 27, 81, 109, 327, 981, 2943, 8829

5763 : 1, 3, 17, 51, 113, 339, 1921, 5763

3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8829,5763, is 3.

Now, the common factors can be found like this.

8829:3x 3x 3x 3x 109

5763:3x 17x 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 = 50881527/(3x1)

LCM = 50881527/3

LCM = 16960509

Thus, we can understand that the LCM of 8829,5763 is 16960509.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8829, 5763

1. What is the LCM of 8829, 5763?

Answer: LCM of 8829, 5763 is 16960509.

2. How to calculate the LCM of 8829, 5763?

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 8829, 5763.

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}.