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LCM of 494, 734, 580, 291

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


Find the LCM of 494, 734, 580, 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 494, 734, 580, 291. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 494,734,580,291

Given numbers are 494,734,580,291

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

The LCM of 494,734,580,291 is 15299738220.

Find LCM of 494,734,580,291 with Prime Factorization


2 494, 734, 580, 291
247, 367, 290, 291

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

2 x 247 x 367 x 290 x 291 = 15299738220

Therefore, the lowest common multiple of 494,734,580,291 is 15299738220.

LCM Formula to Find Lowest Common Multiple of 494,734,580,291

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.

494 x 734 x 580 x 291 = 61198952880

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.

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

734 : 1, 2, 367, 734

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

291 : 1, 3, 97, 291

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 494,734,580,291, is 1.

Now, the common factors can be found like this.

494:2x 13x 19

734:2x 367

580:2x 2x 5x 29

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 2 = 4

Therefore, the value for common factors is 4.

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 = 61198952880/(1x4)

LCM = 61198952880/4

LCM = 15299738220

Thus, we can understand that the LCM of 494,734,580,291 is 15299738220.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 494, 734, 580, 291

1. What is the LCM of 494, 734, 580, 291?

Answer: LCM of 494, 734, 580, 291 is 15299738220.

2. How to calculate the LCM of 494, 734, 580, 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 494, 734, 580, 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}.