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LCM of 831, 831, 789, 988

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


Find the LCM of 831, 831, 789, 988 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, 831, 789, 988. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 831,831,789,988

Given numbers are 831,831,789,988

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

The LCM of 831,831,789,988 is 215930364.

Find LCM of 831,831,789,988 with Prime Factorization


3 831, 831, 789, 988
277 277, 277, 263, 988
1, 1, 263, 988

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

3 x 277 x 1 x 1 x 263 x 988 = 215930364

Therefore, the lowest common multiple of 831,831,789,988 is 215930364.

LCM Formula to Find Lowest Common Multiple of 831,831,789,988

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 831 x 789 x 988 = 538314397452

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

831 : 1, 3, 277, 831

789 : 1, 3, 263, 789

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

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,831,789,988, is 1.

Now, the common factors can be found like this.

831:3x 277

831:3x 277

789:3x 263

988:2x 2x 13x 19

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 277 = 2493

Therefore, the value for common factors is 2493.

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 = 538314397452/(1x2493)

LCM = 538314397452/2493

LCM = 215930364

Thus, we can understand that the LCM of 831,831,789,988 is 215930364.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 831, 831, 789, 988

1. What is the LCM of 831, 831, 789, 988?

Answer: LCM of 831, 831, 789, 988 is 215930364.

2. How to calculate the LCM of 831, 831, 789, 988?

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, 831, 789, 988.

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}.