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LCM of 577, 538, 831, 831

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


Find the LCM of 577, 538, 831, 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 577, 538, 831, 831. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 577,538,831,831

Given numbers are 577,538,831,831

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

The LCM of 577,538,831,831 is 257964006.

Find LCM of 577,538,831,831 with Prime Factorization


3 577, 538, 831, 831
277 577, 538, 277, 277
577, 538, 1, 1

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

3 x 277 x 577 x 538 x 1 x 1 = 257964006

Therefore, the lowest common multiple of 577,538,831,831 is 257964006.

LCM Formula to Find Lowest Common Multiple of 577,538,831,831

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.

577 x 538 x 831 x 831 = 214368088986

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.

577 : 1, 577

538 : 1, 2, 269, 538

831 : 1, 3, 277, 831

831 : 1, 3, 277, 831

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 577,538,831,831, is 1.

Now, the common factors can be found like this.

577:577

538:2x 269

831:3x 277

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.

3x 277 = 831

Therefore, the value for common factors is 831.

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 = 214368088986/(1x831)

LCM = 214368088986/831

LCM = 257964006

Thus, we can understand that the LCM of 577,538,831,831 is 257964006.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 577, 538, 831, 831

1. What is the LCM of 577, 538, 831, 831?

Answer: LCM of 577, 538, 831, 831 is 257964006.

2. How to calculate the LCM of 577, 538, 831, 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 577, 538, 831, 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}.