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LCM of 886, 809, 268, 998, 998

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


Find the LCM of 886, 809, 268, 998, 998 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 886, 809, 268, 998, 998. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 886,809,268,998,998

Given numbers are 886,809,268,998,998

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

The LCM of 886,809,268,998,998 is 47927810284.

Find LCM of 886,809,268,998,998 with Prime Factorization


2 886, 809, 268, 998, 998
499 443, 809, 134, 499, 499
443, 809, 134, 1, 1

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

2 x 499 x 443 x 809 x 134 x 1 x 1 = 47927810284

Therefore, the lowest common multiple of 886,809,268,998,998 is 47927810284.

LCM Formula to Find Lowest Common Multiple of 886,809,268,998,998

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.

886 x 809 x 268 x 998 x 998 = 191327818653728

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.

886 : 1, 2, 443, 886

809 : 1, 809

268 : 1, 2, 4, 67, 134, 268

998 : 1, 2, 499, 998

998 : 1, 2, 499, 998

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 886,809,268,998,998, is 1.

Now, the common factors can be found like this.

886:2x 443

809:809

268:2x 2x 67

998:2x 499

998:2x 499

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 2x 499 = 3992

Therefore, the value for common factors is 3992.

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 = 191327818653728/(1x3992)

LCM = 191327818653728/3992

LCM = 47927810284

Thus, we can understand that the LCM of 886,809,268,998,998 is 47927810284.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 886, 809, 268, 998, 998

1. What is the LCM of 886, 809, 268, 998, 998?

Answer: LCM of 886, 809, 268, 998, 998 is 47927810284.

2. How to calculate the LCM of 886, 809, 268, 998, 998?

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 886, 809, 268, 998, 998.

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}.