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LCM of 758, 727, 394, 898, 412

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


Find the LCM of 758, 727, 394, 898, 412 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 758, 727, 394, 898, 412. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 758,727,394,898,412

Given numbers are 758,727,394,898,412

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

The LCM of 758,727,394,898,412 is 10041148824988.

Find LCM of 758,727,394,898,412 with Prime Factorization


2 758, 727, 394, 898, 412
379, 727, 197, 449, 206

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

2 x 379 x 727 x 197 x 449 x 206 = 10041148824988

Therefore, the lowest common multiple of 758,727,394,898,412 is 10041148824988.

LCM Formula to Find Lowest Common Multiple of 758,727,394,898,412

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.

758 x 727 x 394 x 898 x 412 = 80329190599904

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.

758 : 1, 2, 379, 758

727 : 1, 727

394 : 1, 2, 197, 394

898 : 1, 2, 449, 898

412 : 1, 2, 4, 103, 206, 412

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 758,727,394,898,412, is 1.

Now, the common factors can be found like this.

758:2x 379

727:727

394:2x 197

898:2x 449

412:2x 2x 103

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 2 = 8

Therefore, the value for common factors is 8.

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 = 80329190599904/(1x8)

LCM = 80329190599904/8

LCM = 10041148824988

Thus, we can understand that the LCM of 758,727,394,898,412 is 10041148824988.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 758, 727, 394, 898, 412

1. What is the LCM of 758, 727, 394, 898, 412?

Answer: LCM of 758, 727, 394, 898, 412 is 10041148824988.

2. How to calculate the LCM of 758, 727, 394, 898, 412?

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 758, 727, 394, 898, 412.

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}.