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LCM of 271, 206, 107, 515, 639

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


Find the LCM of 271, 206, 107, 515, 639 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 271, 206, 107, 515, 639. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 271,206,107,515,639

Given numbers are 271,206,107,515,639

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

The LCM of 271,206,107,515,639 is 19084955490.

Find LCM of 271,206,107,515,639 with Prime Factorization


103 271, 206, 107, 515, 639
271, 2, 107, 5, 639

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

103 x 271 x 2 x 107 x 5 x 639 = 19084955490

Therefore, the lowest common multiple of 271,206,107,515,639 is 19084955490.

LCM Formula to Find Lowest Common Multiple of 271,206,107,515,639

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.

271 x 206 x 107 x 515 x 639 = 1965750415470

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.

271 : 1, 271

206 : 1, 2, 103, 206

107 : 1, 107

515 : 1, 5, 103, 515

639 : 1, 3, 9, 71, 213, 639

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,206,107,515,639, is 1.

Now, the common factors can be found like this.

271:271

206:2x 103

107:107

515:5x 103

639:3x 3x 71

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

103 = 103

Therefore, the value for common factors is 103.

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 = 1965750415470/(1x103)

LCM = 1965750415470/103

LCM = 19084955490

Thus, we can understand that the LCM of 271,206,107,515,639 is 19084955490.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 271, 206, 107, 515, 639

1. What is the LCM of 271, 206, 107, 515, 639?

Answer: LCM of 271, 206, 107, 515, 639 is 19084955490.

2. How to calculate the LCM of 271, 206, 107, 515, 639?

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 271, 206, 107, 515, 639.

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}.