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LCM of 831, 591, 988, 717, 549

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


Find the LCM of 831, 591, 988, 717, 549 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, 591, 988, 717, 549. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 831,591,988,717,549

Given numbers are 831,591,988,717,549

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

The LCM of 831,591,988,717,549 is 7074132422292.

Find LCM of 831,591,988,717,549 with Prime Factorization


3 831, 591, 988, 717, 549
277, 197, 988, 239, 183

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

3 x 277 x 197 x 988 x 239 x 183 = 7074132422292

Therefore, the lowest common multiple of 831,591,988,717,549 is 7074132422292.

LCM Formula to Find Lowest Common Multiple of 831,591,988,717,549

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 591 x 988 x 717 x 549 = 191001575401884

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

591 : 1, 3, 197, 591

988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

717 : 1, 3, 239, 717

549 : 1, 3, 9, 61, 183, 549

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,591,988,717,549, is 1.

Now, the common factors can be found like this.

831:3x 277

591:3x 197

988:2x 2x 13x 19

717:3x 239

549:3x 3x 61

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

3x 3x 3 = 27

Therefore, the value for common factors is 27.

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 = 191001575401884/(1x27)

LCM = 191001575401884/27

LCM = 7074132422292

Thus, we can understand that the LCM of 831,591,988,717,549 is 7074132422292.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 831, 591, 988, 717, 549

1. What is the LCM of 831, 591, 988, 717, 549?

Answer: LCM of 831, 591, 988, 717, 549 is 7074132422292.

2. How to calculate the LCM of 831, 591, 988, 717, 549?

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, 591, 988, 717, 549.

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}.