LCM of 825, 341, 329, 517
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 825, 341, 329, 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 825, 341, 329, 517. So, keep reading to learn more.
Given numbers are 825,341,329,517
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 825,341,329,517 is 8414175.
Find LCM of 825,341,329,517 with Prime Factorization
| 11 | 825, 341, 329, 517 |
| 47 | 75, 31, 329, 47 |
| 75, 31, 7, 1 |
Multiply the prime numbers at the bottom and the left side.
11 x 47 x 75 x 31 x 7 x 1 = 8414175
Therefore, the lowest common multiple of 825,341,329,517 is 8414175.
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.
825 x 341 x 329 x 517 = 47851413225
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.
825 : 1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
341 : 1, 11, 31, 341
329 : 1, 7, 47, 329
517 : 1, 11, 47, 517
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 825,341,329,517, is 1.
Now, the common factors can be found like this.
825:3x 5x 5x 11
341:11x 31
329:7x 47
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.
11x 11x 47 = 5687
Therefore, the value for common factors is 5687.
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 = 47851413225/(1x5687)
LCM = 47851413225/5687
LCM = 8414175
Thus, we can understand that the LCM of 825,341,329,517 is 8414175.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 825, 341, 329, 517
1. What is the LCM of 825, 341, 329, 517?
Answer: LCM of 825, 341, 329, 517 is 8414175.
2. How to calculate the LCM of 825, 341, 329, 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 825, 341, 329, 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}.