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LCM of 431, 116, 831, 277

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


Find the LCM of 431, 116, 831, 277 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 431, 116, 831, 277. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 431,116,831,277

Given numbers are 431,116,831,277

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

The LCM of 431,116,831,277 is 41546676.

Find LCM of 431,116,831,277 with Prime Factorization


277 431, 116, 831, 277
431, 116, 3, 1

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

277 x 431 x 116 x 3 x 1 = 41546676

Therefore, the lowest common multiple of 431,116,831,277 is 41546676.

LCM Formula to Find Lowest Common Multiple of 431,116,831,277

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.

431 x 116 x 831 x 277 = 11508429252

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.

431 : 1, 431

116 : 1, 2, 4, 29, 58, 116

831 : 1, 3, 277, 831

277 : 1, 277

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 431,116,831,277, is 1.

Now, the common factors can be found like this.

431:431

116:2x 2x 29

831:3x 277

277:277

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

277 = 277

Therefore, the value for common factors is 277.

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 = 11508429252/(1x277)

LCM = 11508429252/277

LCM = 41546676

Thus, we can understand that the LCM of 431,116,831,277 is 41546676.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 431, 116, 831, 277

1. What is the LCM of 431, 116, 831, 277?

Answer: LCM of 431, 116, 831, 277 is 41546676.

2. How to calculate the LCM of 431, 116, 831, 277?

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 431, 116, 831, 277.

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}.