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LCM of 568, 551, 266, 590

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


Find the LCM of 568, 551, 266, 590 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 568, 551, 266, 590. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 568,551,266,590

Given numbers are 568,551,266,590

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

The LCM of 568,551,266,590 is 646278920.

Find LCM of 568,551,266,590 with Prime Factorization


2 568, 551, 266, 590
19 284, 551, 133, 295
284, 29, 7, 295

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

2 x 19 x 284 x 29 x 7 x 295 = 646278920

Therefore, the lowest common multiple of 568,551,266,590 is 646278920.

LCM Formula to Find Lowest Common Multiple of 568,551,266,590

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.

568 x 551 x 266 x 590 = 49117197920

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.

568 : 1, 2, 4, 8, 71, 142, 284, 568

551 : 1, 19, 29, 551

266 : 1, 2, 7, 14, 19, 38, 133, 266

590 : 1, 2, 5, 10, 59, 118, 295, 590

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 568,551,266,590, is 1.

Now, the common factors can be found like this.

568:2x 2x 2x 71

551:19x 29

266:2x 7x 19

590:2x 5x 59

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 19 = 76

Therefore, the value for common factors is 76.

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 = 49117197920/(1x76)

LCM = 49117197920/76

LCM = 646278920

Thus, we can understand that the LCM of 568,551,266,590 is 646278920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 568, 551, 266, 590

1. What is the LCM of 568, 551, 266, 590?

Answer: LCM of 568, 551, 266, 590 is 646278920.

2. How to calculate the LCM of 568, 551, 266, 590?

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 568, 551, 266, 590.

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}.