LCM of 271, 711, 387, 559, 989
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 271, 711, 387, 559, 989 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, 711, 387, 559, 989. So, keep reading to learn more.
Given numbers are 271,711,387,559,989
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 271,711,387,559,989 is 2477299617.
Find LCM of 271,711,387,559,989 with Prime Factorization
| 3 | 271, 711, 387, 559, 989 |
| 3 | 271, 237, 129, 559, 989 |
| 43 | 271, 79, 43, 559, 989 |
| 271, 79, 1, 13, 23 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 43 x 271 x 79 x 1 x 13 x 23 = 2477299617
Therefore, the lowest common multiple of 271,711,387,559,989 is 2477299617.
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 711 x 387 x 559 x 989 = 41224742926497
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
711 : 1, 3, 9, 79, 237, 711
387 : 1, 3, 9, 43, 129, 387
559 : 1, 13, 43, 559
989 : 1, 23, 43, 989
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 271,711,387,559,989, is 1.
Now, the common factors can be found like this.
271:271
711:3x 3x 79
387:3x 3x 43
559:13x 43
989:23x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 43x 43 = 16641
Therefore, the value for common factors is 16641.
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 = 41224742926497/(1x16641)
LCM = 41224742926497/16641
LCM = 2477299617
Thus, we can understand that the LCM of 271,711,387,559,989 is 2477299617.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 271, 711, 387, 559, 989
1. What is the LCM of 271, 711, 387, 559, 989?
Answer: LCM of 271, 711, 387, 559, 989 is 2477299617.
2. How to calculate the LCM of 271, 711, 387, 559, 989?
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, 711, 387, 559, 989.
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}.