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LCM of 8811, 4928

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


Find the LCM of 8811, 4928 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 8811, 4928. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 8811,4928

Given numbers are 8811,4928

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

The LCM of 8811,4928 is 3947328.

Find LCM of 8811,4928 with Prime Factorization


11 8811, 4928
801, 448

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

11 x 801 x 448 = 3947328

Therefore, the lowest common multiple of 8811,4928 is 3947328.

LCM Formula to Find Lowest Common Multiple of 8811,4928

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.

8811 x 4928 = 43420608

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.

8811 : 1, 3, 9, 11, 33, 89, 99, 267, 801, 979, 2937, 8811

4928 : 1, 2, 4, 7, 8, 11, 14, 16, 22, 28, 32, 44, 56, 64, 77, 88, 112, 154, 176, 224, 308, 352, 448, 616, 704, 1232, 2464, 4928

11 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 8811,4928, is 11.

Now, the common factors can be found like this.

8811:3x 3x 11x 89

4928:2x 2x 2x 2x 2x 2x 7x 11

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 = 43420608/(11x1)

LCM = 43420608/11

LCM = 3947328

Thus, we can understand that the LCM of 8811,4928 is 3947328.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 8811, 4928

1. What is the LCM of 8811, 4928?

Answer: LCM of 8811, 4928 is 3947328.

2. How to calculate the LCM of 8811, 4928?

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 8811, 4928.

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}.