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LCM of 563, 411, 233, 958, 568

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


Find the LCM of 563, 411, 233, 958, 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 563, 411, 233, 958, 568. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 563,411,233,958,568

Given numbers are 563,411,233,958,568

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

The LCM of 563,411,233,958,568 is 14668644616968.

Find LCM of 563,411,233,958,568 with Prime Factorization


2 563, 411, 233, 958, 568
563, 411, 233, 479, 284

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

2 x 563 x 411 x 233 x 479 x 284 = 14668644616968

Therefore, the lowest common multiple of 563,411,233,958,568 is 14668644616968.

LCM Formula to Find Lowest Common Multiple of 563,411,233,958,568

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.

563 x 411 x 233 x 958 x 568 = 29337289233936

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.

563 : 1, 563

411 : 1, 3, 137, 411

233 : 1, 233

958 : 1, 2, 479, 958

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,411,233,958,568, is 1.

Now, the common factors can be found like this.

563:563

411:3x 137

233:233

958:2x 479

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.

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 = 29337289233936/(1x2)

LCM = 29337289233936/2

LCM = 14668644616968

Thus, we can understand that the LCM of 563,411,233,958,568 is 14668644616968.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 563, 411, 233, 958, 568

1. What is the LCM of 563, 411, 233, 958, 568?

Answer: LCM of 563, 411, 233, 958, 568 is 14668644616968.

2. How to calculate the LCM of 563, 411, 233, 958, 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 563, 411, 233, 958, 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}.