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LCM of 522, 808, 569, 550

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


Find the LCM of 522, 808, 569, 550 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 522, 808, 569, 550. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 522,808,569,550

Given numbers are 522,808,569,550

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

The LCM of 522,808,569,550 is 32998699800.

Find LCM of 522,808,569,550 with Prime Factorization


2 522, 808, 569, 550
261, 404, 569, 275

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

2 x 261 x 404 x 569 x 275 = 32998699800

Therefore, the lowest common multiple of 522,808,569,550 is 32998699800.

LCM Formula to Find Lowest Common Multiple of 522,808,569,550

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.

522 x 808 x 569 x 550 = 131994799200

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.

522 : 1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

808 : 1, 2, 4, 8, 101, 202, 404, 808

569 : 1, 569

550 : 1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 522,808,569,550, is 1.

Now, the common factors can be found like this.

522:2x 3x 3x 29

808:2x 2x 2x 101

569:569

550:2x 5x 5x 11

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

2x 2 = 4

Therefore, the value for common factors is 4.

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 = 131994799200/(1x4)

LCM = 131994799200/4

LCM = 32998699800

Thus, we can understand that the LCM of 522,808,569,550 is 32998699800.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 522, 808, 569, 550

1. What is the LCM of 522, 808, 569, 550?

Answer: LCM of 522, 808, 569, 550 is 32998699800.

2. How to calculate the LCM of 522, 808, 569, 550?

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 522, 808, 569, 550.

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}.