LCM of 981, 834, 793, 481, 417
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 981, 834, 793, 481, 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 981, 834, 793, 481, 417. So, keep reading to learn more.
Given numbers are 981,834,793,481,417
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 981,834,793,481,417 is 8001818838.
Find LCM of 981,834,793,481,417 with Prime Factorization
| 3 | 981, 834, 793, 481, 417 |
| 13 | 327, 278, 793, 481, 139 |
| 139 | 327, 278, 61, 37, 139 |
| 327, 2, 61, 37, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 139 x 327 x 2 x 61 x 37 x 1 = 8001818838
Therefore, the lowest common multiple of 981,834,793,481,417 is 8001818838.
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.
981 x 834 x 793 x 481 x 417 = 130133579762394
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.
981 : 1, 3, 9, 109, 327, 981
834 : 1, 2, 3, 6, 139, 278, 417, 834
793 : 1, 13, 61, 793
481 : 1, 13, 37, 481
417 : 1, 3, 139, 417
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 981,834,793,481,417, is 1.
Now, the common factors can be found like this.
981:3x 3x 109
834:2x 3x 139
793:13x 61
481:13x 37
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.
3x 3x 13x 139 = 16263
Therefore, the value for common factors is 16263.
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 = 130133579762394/(1x16263)
LCM = 130133579762394/16263
LCM = 8001818838
Thus, we can understand that the LCM of 981,834,793,481,417 is 8001818838.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 981, 834, 793, 481, 417
1. What is the LCM of 981, 834, 793, 481, 417?
Answer: LCM of 981, 834, 793, 481, 417 is 8001818838.
2. How to calculate the LCM of 981, 834, 793, 481, 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 981, 834, 793, 481, 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}.