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LCM of 800, 404, 519, 759

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


Find the LCM of 800, 404, 519, 759 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 800, 404, 519, 759. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 800,404,519,759

Given numbers are 800,404,519,759

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

The LCM of 800,404,519,759 is 10609605600.

Find LCM of 800,404,519,759 with Prime Factorization


2 800, 404, 519, 759
2 400, 202, 519, 759
3 200, 101, 519, 759
200, 101, 173, 253

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

2 x 2 x 3 x 200 x 101 x 173 x 253 = 10609605600

Therefore, the lowest common multiple of 800,404,519,759 is 10609605600.

LCM Formula to Find Lowest Common Multiple of 800,404,519,759

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.

800 x 404 x 519 x 759 = 127315267200

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.

800 : 1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

404 : 1, 2, 4, 101, 202, 404

519 : 1, 3, 173, 519

759 : 1, 3, 11, 23, 33, 69, 253, 759

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 800,404,519,759, is 1.

Now, the common factors can be found like this.

800:2x 2x 2x 2x 2x 5x 5

404:2x 2x 101

519:3x 173

759:3x 11x 23

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 3 = 12

Therefore, the value for common factors is 12.

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 = 127315267200/(1x12)

LCM = 127315267200/12

LCM = 10609605600

Thus, we can understand that the LCM of 800,404,519,759 is 10609605600.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 800, 404, 519, 759

1. What is the LCM of 800, 404, 519, 759?

Answer: LCM of 800, 404, 519, 759 is 10609605600.

2. How to calculate the LCM of 800, 404, 519, 759?

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 800, 404, 519, 759.

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}.