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LCM of 320, 831, 515, 331, 206

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


Find the LCM of 320, 831, 515, 331, 206 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 320, 831, 515, 331, 206. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 320,831,515,331,206

Given numbers are 320,831,515,331,206

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

The LCM of 320,831,515,331,206 is 9066010560.

Find LCM of 320,831,515,331,206 with Prime Factorization


2 320, 831, 515, 331, 206
5 160, 831, 515, 331, 103
103 32, 831, 103, 331, 103
32, 831, 1, 331, 1

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

2 x 5 x 103 x 32 x 831 x 1 x 331 x 1 = 9066010560

Therefore, the lowest common multiple of 320,831,515,331,206 is 9066010560.

LCM Formula to Find Lowest Common Multiple of 320,831,515,331,206

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.

320 x 831 x 515 x 331 x 206 = 9337990876800

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.

320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

831 : 1, 3, 277, 831

515 : 1, 5, 103, 515

331 : 1, 331

206 : 1, 2, 103, 206

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 320,831,515,331,206, is 1.

Now, the common factors can be found like this.

320:2x 2x 2x 2x 2x 2x 5

831:3x 277

515:5x 103

331:331

206:2x 103

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

2x 5x 103 = 1030

Therefore, the value for common factors is 1030.

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 = 9337990876800/(1x1030)

LCM = 9337990876800/1030

LCM = 9066010560

Thus, we can understand that the LCM of 320,831,515,331,206 is 9066010560.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 320, 831, 515, 331, 206

1. What is the LCM of 320, 831, 515, 331, 206?

Answer: LCM of 320, 831, 515, 331, 206 is 9066010560.

2. How to calculate the LCM of 320, 831, 515, 331, 206?

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 320, 831, 515, 331, 206.

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}.