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LCM of 245, 431, 494, 481, 198

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


Find the LCM of 245, 431, 494, 481, 198 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 245, 431, 494, 481, 198. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 245,431,494,481,198

Given numbers are 245,431,494,481,198

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

The LCM of 245,431,494,481,198 is 191076475590.

Find LCM of 245,431,494,481,198 with Prime Factorization


2 245, 431, 494, 481, 198
13 245, 431, 247, 481, 99
245, 431, 19, 37, 99

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

2 x 13 x 245 x 431 x 19 x 37 x 99 = 191076475590

Therefore, the lowest common multiple of 245,431,494,481,198 is 191076475590.

LCM Formula to Find Lowest Common Multiple of 245,431,494,481,198

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.

245 x 431 x 494 x 481 x 198 = 4967988365340

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.

245 : 1, 5, 7, 35, 49, 245

431 : 1, 431

494 : 1, 2, 13, 19, 26, 38, 247, 494

481 : 1, 13, 37, 481

198 : 1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 245,431,494,481,198, is 1.

Now, the common factors can be found like this.

245:5x 7x 7

431:431

494:2x 13x 19

481:13x 37

198:2x 3x 3x 11

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

2x 13 = 26

Therefore, the value for common factors is 26.

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 = 4967988365340/(1x26)

LCM = 4967988365340/26

LCM = 191076475590

Thus, we can understand that the LCM of 245,431,494,481,198 is 191076475590.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 245, 431, 494, 481, 198

1. What is the LCM of 245, 431, 494, 481, 198?

Answer: LCM of 245, 431, 494, 481, 198 is 191076475590.

2. How to calculate the LCM of 245, 431, 494, 481, 198?

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 245, 431, 494, 481, 198.

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}.