LCM of 591, 138, 253, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 591, 138, 253, 517 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, 138, 253, 517. So, keep reading to learn more.
Given numbers are 591,138,253,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 591,138,253,517 is 14055162.
Find LCM of 591,138,253,517 with Prime Factorization
| 3 | 591, 138, 253, 517 |
| 11 | 197, 46, 253, 517 |
| 23 | 197, 46, 23, 47 |
| 197, 2, 1, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 23 x 197 x 2 x 1 x 47 = 14055162
Therefore, the lowest common multiple of 591,138,253,517 is 14055162.
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 138 x 253 x 517 = 10667867958
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
138 : 1, 2, 3, 6, 23, 46, 69, 138
253 : 1, 11, 23, 253
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 591,138,253,517, is 1.
Now, the common factors can be found like this.
591:3x 197
138:2x 3x 23
253:11x 23
517:11x 47
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11x 23 = 759
Therefore, the value for common factors is 759.
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 = 10667867958/(1x759)
LCM = 10667867958/759
LCM = 14055162
Thus, we can understand that the LCM of 591,138,253,517 is 14055162.
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FAQs on LCM of 591, 138, 253, 517
1. What is the LCM of 591, 138, 253, 517?
Answer: LCM of 591, 138, 253, 517 is 14055162.
2. How to calculate the LCM of 591, 138, 253, 517?
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, 138, 253, 517.
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}.