LCM of 363, 231, 197, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 363, 231, 197, 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 363, 231, 197, 517. So, keep reading to learn more.
Given numbers are 363,231,197,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 363,231,197,517 is 23527119.
Find LCM of 363,231,197,517 with Prime Factorization
| 3 | 363, 231, 197, 517 |
| 11 | 121, 77, 197, 517 |
| 11, 7, 197, 47 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 11 x 7 x 197 x 47 = 23527119
Therefore, the lowest common multiple of 363,231,197,517 is 23527119.
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.
363 x 231 x 197 x 517 = 8540344197
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.
363 : 1, 3, 11, 33, 121, 363
231 : 1, 3, 7, 11, 21, 33, 77, 231
197 : 1, 197
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 363,231,197,517, is 1.
Now, the common factors can be found like this.
363:3x 11x 11
231:3x 7x 11
197:197
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 11 = 363
Therefore, the value for common factors is 363.
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 = 8540344197/(1x363)
LCM = 8540344197/363
LCM = 23527119
Thus, we can understand that the LCM of 363,231,197,517 is 23527119.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 363, 231, 197, 517
1. What is the LCM of 363, 231, 197, 517?
Answer: LCM of 363, 231, 197, 517 is 23527119.
2. How to calculate the LCM of 363, 231, 197, 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 363, 231, 197, 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}.