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LCM of 831, 935, 891, 568, 253

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


Find the LCM of 831, 935, 891, 568, 253 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 831, 935, 891, 568, 253. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 831,935,891,568,253

Given numbers are 831,935,891,568,253

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

The LCM of 831,935,891,568,253 is 274064365080.

Find LCM of 831,935,891,568,253 with Prime Factorization


3 831, 935, 891, 568, 253
11 277, 935, 297, 568, 253
277, 85, 27, 568, 23

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

3 x 11 x 277 x 85 x 27 x 568 x 23 = 274064365080

Therefore, the lowest common multiple of 831,935,891,568,253 is 274064365080.

LCM Formula to Find Lowest Common Multiple of 831,935,891,568,253

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.

831 x 935 x 891 x 568 x 253 = 99485364524040

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.

831 : 1, 3, 277, 831

935 : 1, 5, 11, 17, 55, 85, 187, 935

891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891

568 : 1, 2, 4, 8, 71, 142, 284, 568

253 : 1, 11, 23, 253

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,935,891,568,253, is 1.

Now, the common factors can be found like this.

831:3x 277

935:5x 11x 17

891:3x 3x 3x 3x 11

568:2x 2x 2x 71

253:11x 23

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

3x 11x 11 = 363

Therefore, the value for common factors is 363.

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 = 99485364524040/(1x363)

LCM = 99485364524040/363

LCM = 274064365080

Thus, we can understand that the LCM of 831,935,891,568,253 is 274064365080.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 831, 935, 891, 568, 253

1. What is the LCM of 831, 935, 891, 568, 253?

Answer: LCM of 831, 935, 891, 568, 253 is 274064365080.

2. How to calculate the LCM of 831, 935, 891, 568, 253?

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 831, 935, 891, 568, 253.

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}.