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LCM of 563, 454, 242

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


Find the LCM of 563, 454, 242 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, 454, 242. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 563,454,242

Given numbers are 563,454,242

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

The LCM of 563,454,242 is 30927842.

Find LCM of 563,454,242 with Prime Factorization


2 563, 454, 242
563, 227, 121

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

2 x 563 x 227 x 121 = 30927842

Therefore, the lowest common multiple of 563,454,242 is 30927842.

LCM Formula to Find Lowest Common Multiple of 563,454,242

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 454 x 242 = 61855684

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

454 : 1, 2, 227, 454

242 : 1, 2, 11, 22, 121, 242

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 563,454,242, is 1.

Now, the common factors can be found like this.

563:563

454:2x 227

242:2x 11x 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 = 61855684/(1x2)

LCM = 61855684/2

LCM = 30927842

Thus, we can understand that the LCM of 563,454,242 is 30927842.

LCM of two or more Numbers Calculation Examples

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FAQs on LCM of 563, 454, 242

1. What is the LCM of 563, 454, 242?

Answer: LCM of 563, 454, 242 is 30927842.

2. How to calculate the LCM of 563, 454, 242?

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, 454, 242.

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}.