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LCM of 311, 772, 897, 831

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


Find the LCM of 311, 772, 897, 831 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 311, 772, 897, 831. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 311,772,897,831

Given numbers are 311,772,897,831

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

The LCM of 311,772,897,831 is 59655419148.

Find LCM of 311,772,897,831 with Prime Factorization


3 311, 772, 897, 831
311, 772, 299, 277

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

3 x 311 x 772 x 299 x 277 = 59655419148

Therefore, the lowest common multiple of 311,772,897,831 is 59655419148.

LCM Formula to Find Lowest Common Multiple of 311,772,897,831

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.

311 x 772 x 897 x 831 = 178966257444

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.

311 : 1, 311

772 : 1, 2, 4, 193, 386, 772

897 : 1, 3, 13, 23, 39, 69, 299, 897

831 : 1, 3, 277, 831

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 311,772,897,831, is 1.

Now, the common factors can be found like this.

311:311

772:2x 2x 193

897:3x 13x 23

831:3x 277

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

3 = 3

Therefore, the value for common factors is 3.

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 = 178966257444/(1x3)

LCM = 178966257444/3

LCM = 59655419148

Thus, we can understand that the LCM of 311,772,897,831 is 59655419148.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 311, 772, 897, 831

1. What is the LCM of 311, 772, 897, 831?

Answer: LCM of 311, 772, 897, 831 is 59655419148.

2. How to calculate the LCM of 311, 772, 897, 831?

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 311, 772, 897, 831.

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}.