LCM of 517, 917, 363, 195
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 917, 363, 195 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 517, 917, 363, 195. So, keep reading to learn more.
Given numbers are 517,917,363,195
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,917,363,195 is 1016920905.
Find LCM of 517,917,363,195 with Prime Factorization
| 3 | 517, 917, 363, 195 |
| 11 | 517, 917, 121, 65 |
| 47, 917, 11, 65 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 47 x 917 x 11 x 65 = 1016920905
Therefore, the lowest common multiple of 517,917,363,195 is 1016920905.
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.
517 x 917 x 363 x 195 = 33558389865
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.
517 : 1, 11, 47, 517
917 : 1, 7, 131, 917
363 : 1, 3, 11, 33, 121, 363
195 : 1, 3, 5, 13, 15, 39, 65, 195
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,917,363,195, is 1.
Now, the common factors can be found like this.
517:11x 47
917:7x 131
363:3x 11x 11
195:3x 5x 13
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 11 = 33
Therefore, the value for common factors is 33.
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 = 33558389865/(1x33)
LCM = 33558389865/33
LCM = 1016920905
Thus, we can understand that the LCM of 517,917,363,195 is 1016920905.
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FAQs on LCM of 517, 917, 363, 195
1. What is the LCM of 517, 917, 363, 195?
Answer: LCM of 517, 917, 363, 195 is 1016920905.
2. How to calculate the LCM of 517, 917, 363, 195?
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 517, 917, 363, 195.
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}.