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LCM of 598, 575, 485, 431, 676

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


Find the LCM of 598, 575, 485, 431, 676 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 598, 575, 485, 431, 676. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 598,575,485,431,676

Given numbers are 598,575,485,431,676

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

The LCM of 598,575,485,431,676 is 16250380900.

Find LCM of 598,575,485,431,676 with Prime Factorization


2 598, 575, 485, 431, 676
5 299, 575, 485, 431, 338
13 299, 115, 97, 431, 338
23 23, 115, 97, 431, 26
1, 5, 97, 431, 26

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

2 x 5 x 13 x 23 x 1 x 5 x 97 x 431 x 26 = 16250380900

Therefore, the lowest common multiple of 598,575,485,431,676 is 16250380900.

LCM Formula to Find Lowest Common Multiple of 598,575,485,431,676

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.

598 x 575 x 485 x 431 x 676 = 48588638891000

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.

598 : 1, 2, 13, 23, 26, 46, 299, 598

575 : 1, 5, 23, 25, 115, 575

485 : 1, 5, 97, 485

431 : 1, 431

676 : 1, 2, 4, 13, 26, 52, 169, 338, 676

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 598,575,485,431,676, is 1.

Now, the common factors can be found like this.

598:2x 13x 23

575:5x 5x 23

485:5x 97

431:431

676:2x 2x 13x 13

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

2x 5x 13x 23 = 2990

Therefore, the value for common factors is 2990.

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 = 48588638891000/(1x2990)

LCM = 48588638891000/2990

LCM = 16250380900

Thus, we can understand that the LCM of 598,575,485,431,676 is 16250380900.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 598, 575, 485, 431, 676

1. What is the LCM of 598, 575, 485, 431, 676?

Answer: LCM of 598, 575, 485, 431, 676 is 16250380900.

2. How to calculate the LCM of 598, 575, 485, 431, 676?

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 598, 575, 485, 431, 676.

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}.