LCM of 517, 609, 447, 329
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 609, 447, 329 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, 609, 447, 329. So, keep reading to learn more.
Given numbers are 517,609,447,329
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,609,447,329 is 46913097.
Find LCM of 517,609,447,329 with Prime Factorization
| 3 | 517, 609, 447, 329 |
| 7 | 517, 203, 149, 329 |
| 47 | 517, 29, 149, 47 |
| 11, 29, 149, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 7 x 47 x 11 x 29 x 149 x 1 = 46913097
Therefore, the lowest common multiple of 517,609,447,329 is 46913097.
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 609 x 447 x 329 = 46303226739
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
609 : 1, 3, 7, 21, 29, 87, 203, 609
447 : 1, 3, 149, 447
329 : 1, 7, 47, 329
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,609,447,329, is 1.
Now, the common factors can be found like this.
517:11x 47
609:3x 7x 29
447:3x 149
329:7x 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 7x 47 = 987
Therefore, the value for common factors is 987.
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 = 46303226739/(1x987)
LCM = 46303226739/987
LCM = 46913097
Thus, we can understand that the LCM of 517,609,447,329 is 46913097.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 517, 609, 447, 329
1. What is the LCM of 517, 609, 447, 329?
Answer: LCM of 517, 609, 447, 329 is 46913097.
2. How to calculate the LCM of 517, 609, 447, 329?
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, 609, 447, 329.
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}.