LCM of 591, 5417, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 5417, 231 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 591, 5417, 231. So, keep reading to learn more.
Given numbers are 591,5417,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,5417,231 is 246511419.
Find LCM of 591,5417,231 with Prime Factorization
| 3 | 591, 5417, 231 |
| 197, 5417, 77 |
Multiply the prime numbers at the bottom and the left side.
3 x 197 x 5417 x 77 = 246511419
Therefore, the lowest common multiple of 591,5417,231 is 246511419.
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.
591 x 5417 x 231 = 739534257
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.
591 : 1, 3, 197, 591
5417 : 1, 5417
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,5417,231, is 1.
Now, the common factors can be found like this.
591:3x 197
5417:5417
231:3x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 739534257/(1x3)
LCM = 739534257/3
LCM = 246511419
Thus, we can understand that the LCM of 591,5417,231 is 246511419.
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FAQs on LCM of 591, 5417, 231
1. What is the LCM of 591, 5417, 231?
Answer: LCM of 591, 5417, 231 is 246511419.
2. How to calculate the LCM of 591, 5417, 231?
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 591, 5417, 231.
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}.