LCM of 517, 814, 834, 485, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 517, 814, 834, 485, 417 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, 814, 834, 485, 417. So, keep reading to learn more.
Given numbers are 517,814,834,485,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 517,814,834,485,417 is 7737489210.
Find LCM of 517,814,834,485,417 with Prime Factorization
| 2 | 517, 814, 834, 485, 417 |
| 3 | 517, 407, 417, 485, 417 |
| 11 | 517, 407, 139, 485, 139 |
| 139 | 47, 37, 139, 485, 139 |
| 47, 37, 1, 485, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 11 x 139 x 47 x 37 x 1 x 485 x 1 = 7737489210
Therefore, the lowest common multiple of 517,814,834,485,417 is 7737489210.
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 814 x 834 x 485 x 417 = 70983726012540
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
814 : 1, 2, 11, 22, 37, 74, 407, 814
834 : 1, 2, 3, 6, 139, 278, 417, 834
485 : 1, 5, 97, 485
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 517,814,834,485,417, is 1.
Now, the common factors can be found like this.
517:11x 47
814:2x 11x 37
834:2x 3x 139
485:5x 97
417:3x 139
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 11x 139 = 9174
Therefore, the value for common factors is 9174.
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 = 70983726012540/(1x9174)
LCM = 70983726012540/9174
LCM = 7737489210
Thus, we can understand that the LCM of 517,814,834,485,417 is 7737489210.
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, 814, 834, 485, 417
1. What is the LCM of 517, 814, 834, 485, 417?
Answer: LCM of 517, 814, 834, 485, 417 is 7737489210.
2. How to calculate the LCM of 517, 814, 834, 485, 417?
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, 814, 834, 485, 417.
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}.