LCM of 271, 634, 209, 380, 686
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 271, 634, 209, 380, 686 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, 634, 209, 380, 686. So, keep reading to learn more.
Given numbers are 271,634,209,380,686
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 271,634,209,380,686 is 123168302180.
Find LCM of 271,634,209,380,686 with Prime Factorization
| 2 | 271, 634, 209, 380, 686 |
| 19 | 271, 317, 209, 190, 343 |
| 271, 317, 11, 10, 343 |
Multiply the prime numbers at the bottom and the left side.
2 x 19 x 271 x 317 x 11 x 10 x 343 = 123168302180
Therefore, the lowest common multiple of 271,634,209,380,686 is 123168302180.
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 634 x 209 x 380 x 686 = 9360790965680
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
634 : 1, 2, 317, 634
209 : 1, 11, 19, 209
380 : 1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
686 : 1, 2, 7, 14, 49, 98, 343, 686
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,634,209,380,686, is 1.
Now, the common factors can be found like this.
271:271
634:2x 317
209:11x 19
380:2x 2x 5x 19
686:2x 7x 7x 7
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 19 = 76
Therefore, the value for common factors is 76.
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 = 9360790965680/(1x76)
LCM = 9360790965680/76
LCM = 123168302180
Thus, we can understand that the LCM of 271,634,209,380,686 is 123168302180.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 271, 634, 209, 380, 686
1. What is the LCM of 271, 634, 209, 380, 686?
Answer: LCM of 271, 634, 209, 380, 686 is 123168302180.
2. How to calculate the LCM of 271, 634, 209, 380, 686?
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, 634, 209, 380, 686.
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}.