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LCM of 242, 504, 559, 259

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


Find the LCM of 242, 504, 559, 259 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 242, 504, 559, 259. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 242,504,559,259

Given numbers are 242,504,559,259

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

The LCM of 242,504,559,259 is 1261332072.

Find LCM of 242,504,559,259 with Prime Factorization


2 242, 504, 559, 259
7 121, 252, 559, 259
121, 36, 559, 37

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

2 x 7 x 121 x 36 x 559 x 37 = 1261332072

Therefore, the lowest common multiple of 242,504,559,259 is 1261332072.

LCM Formula to Find Lowest Common Multiple of 242,504,559,259

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.

242 x 504 x 559 x 259 = 17658649008

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.

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

504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

559 : 1, 13, 43, 559

259 : 1, 7, 37, 259

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 242,504,559,259, is 1.

Now, the common factors can be found like this.

242:2x 11x 11

504:2x 2x 2x 3x 3x 7

559:13x 43

259:7x 37

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

2x 7 = 14

Therefore, the value for common factors is 14.

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 = 17658649008/(1x14)

LCM = 17658649008/14

LCM = 1261332072

Thus, we can understand that the LCM of 242,504,559,259 is 1261332072.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 242, 504, 559, 259

1. What is the LCM of 242, 504, 559, 259?

Answer: LCM of 242, 504, 559, 259 is 1261332072.

2. How to calculate the LCM of 242, 504, 559, 259?

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 242, 504, 559, 259.

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}.