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LCM of 580, 194, 502, 291

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


Find the LCM of 580, 194, 502, 291 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 580, 194, 502, 291. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 580,194,502,291

Given numbers are 580,194,502,291

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

The LCM of 580,194,502,291 is 42363780.

Find LCM of 580,194,502,291 with Prime Factorization


2 580, 194, 502, 291
97 290, 97, 251, 291
290, 1, 251, 3

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

2 x 97 x 290 x 1 x 251 x 3 = 42363780

Therefore, the lowest common multiple of 580,194,502,291 is 42363780.

LCM Formula to Find Lowest Common Multiple of 580,194,502,291

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.

580 x 194 x 502 x 291 = 16437146640

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.

580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

194 : 1, 2, 97, 194

502 : 1, 2, 251, 502

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 580,194,502,291, is 1.

Now, the common factors can be found like this.

580:2x 2x 5x 29

194:2x 97

502:2x 251

291:3x 97

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

2x 2x 97 = 388

Therefore, the value for common factors is 388.

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 = 16437146640/(1x388)

LCM = 16437146640/388

LCM = 42363780

Thus, we can understand that the LCM of 580,194,502,291 is 42363780.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 580, 194, 502, 291

1. What is the LCM of 580, 194, 502, 291?

Answer: LCM of 580, 194, 502, 291 is 42363780.

2. How to calculate the LCM of 580, 194, 502, 291?

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 580, 194, 502, 291.

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}.