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LCM of 809, 356, 149, 627, 801

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


Find the LCM of 809, 356, 149, 627, 801 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 809, 356, 149, 627, 801. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 809,356,149,627,801

Given numbers are 809,356,149,627,801

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

The LCM of 809,356,149,627,801 is 80718593076.

Find LCM of 809,356,149,627,801 with Prime Factorization


3 809, 356, 149, 627, 801
89 809, 356, 149, 209, 267
809, 4, 149, 209, 3

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

3 x 89 x 809 x 4 x 149 x 209 x 3 = 80718593076

Therefore, the lowest common multiple of 809,356,149,627,801 is 80718593076.

LCM Formula to Find Lowest Common Multiple of 809,356,149,627,801

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.

809 x 356 x 149 x 627 x 801 = 21551864351292

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.

809 : 1, 809

356 : 1, 2, 4, 89, 178, 356

149 : 1, 149

627 : 1, 3, 11, 19, 33, 57, 209, 627

801 : 1, 3, 9, 89, 267, 801

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,356,149,627,801, is 1.

Now, the common factors can be found like this.

809:809

356:2x 2x 89

149:149

627:3x 11x 19

801:3x 3x 89

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

3x 89 = 267

Therefore, the value for common factors is 267.

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 = 21551864351292/(1x267)

LCM = 21551864351292/267

LCM = 80718593076

Thus, we can understand that the LCM of 809,356,149,627,801 is 80718593076.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 809, 356, 149, 627, 801

1. What is the LCM of 809, 356, 149, 627, 801?

Answer: LCM of 809, 356, 149, 627, 801 is 80718593076.

2. How to calculate the LCM of 809, 356, 149, 627, 801?

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 809, 356, 149, 627, 801.

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}.