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LCM of 512, 626, 590, 568

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


Find the LCM of 512, 626, 590, 568 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 512, 626, 590, 568. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 512,626,590,568

Given numbers are 512,626,590,568

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

The LCM of 512,626,590,568 is 3356561920.

Find LCM of 512,626,590,568 with Prime Factorization


2 512, 626, 590, 568
2 256, 313, 295, 284
2 128, 313, 295, 142
64, 313, 295, 71

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

2 x 2 x 2 x 64 x 313 x 295 x 71 = 3356561920

Therefore, the lowest common multiple of 512,626,590,568 is 3356561920.

LCM Formula to Find Lowest Common Multiple of 512,626,590,568

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.

512 x 626 x 590 x 568 = 107409981440

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.

512 : 1, 2, 4, 8, 16, 32, 64, 128, 256, 512

626 : 1, 2, 313, 626

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

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

2 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 512,626,590,568, is 2.

Now, the common factors can be found like this.

512:2x 2x 2x 2x 2x 2x 2x 2x 2

626:2x 313

590:2x 5x 59

568:2x 2x 2x 71

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 2x 2 = 16

Therefore, the value for common factors is 16.

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 = 107409981440/(2x16)

LCM = 107409981440/32

LCM = 3356561920

Thus, we can understand that the LCM of 512,626,590,568 is 3356561920.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 512, 626, 590, 568

1. What is the LCM of 512, 626, 590, 568?

Answer: LCM of 512, 626, 590, 568 is 3356561920.

2. How to calculate the LCM of 512, 626, 590, 568?

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 512, 626, 590, 568.

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}.