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LCM of 626, 800, 717, 539

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


Find the LCM of 626, 800, 717, 539 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 626, 800, 717, 539. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 626,800,717,539

Given numbers are 626,800,717,539

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

The LCM of 626,800,717,539 is 96770335200.

Find LCM of 626,800,717,539 with Prime Factorization


2 626, 800, 717, 539
313, 400, 717, 539

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

2 x 313 x 400 x 717 x 539 = 96770335200

Therefore, the lowest common multiple of 626,800,717,539 is 96770335200.

LCM Formula to Find Lowest Common Multiple of 626,800,717,539

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.

626 x 800 x 717 x 539 = 193540670400

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.

626 : 1, 2, 313, 626

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

717 : 1, 3, 239, 717

539 : 1, 7, 11, 49, 77, 539

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 626,800,717,539, is 1.

Now, the common factors can be found like this.

626:2x 313

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

717:3x 239

539:7x 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.

2 = 2

Therefore, the value for common factors is 2.

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 = 193540670400/(1x2)

LCM = 193540670400/2

LCM = 96770335200

Thus, we can understand that the LCM of 626,800,717,539 is 96770335200.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 626, 800, 717, 539

1. What is the LCM of 626, 800, 717, 539?

Answer: LCM of 626, 800, 717, 539 is 96770335200.

2. How to calculate the LCM of 626, 800, 717, 539?

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 626, 800, 717, 539.

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}.