LCM of 481, 671, 822, 793, 465
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 481, 671, 822, 793, 465 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 481, 671, 822, 793, 465. So, keep reading to learn more.
Given numbers are 481,671,822,793,465
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 481,671,822,793,465 is 41121704910.
Find LCM of 481,671,822,793,465 with Prime Factorization
| 3 | 481, 671, 822, 793, 465 |
| 13 | 481, 671, 274, 793, 155 |
| 61 | 37, 671, 274, 61, 155 |
| 37, 11, 274, 1, 155 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 61 x 37 x 11 x 274 x 1 x 155 = 41121704910
Therefore, the lowest common multiple of 481,671,822,793,465 is 41121704910.
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.
481 x 671 x 822 x 793 x 465 = 97828535980890
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.
481 : 1, 13, 37, 481
671 : 1, 11, 61, 671
822 : 1, 2, 3, 6, 137, 274, 411, 822
793 : 1, 13, 61, 793
465 : 1, 3, 5, 15, 31, 93, 155, 465
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 481,671,822,793,465, is 1.
Now, the common factors can be found like this.
481:13x 37
671:11x 61
822:2x 3x 137
793:13x 61
465:3x 5x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 13x 61 = 2379
Therefore, the value for common factors is 2379.
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 = 97828535980890/(1x2379)
LCM = 97828535980890/2379
LCM = 41121704910
Thus, we can understand that the LCM of 481,671,822,793,465 is 41121704910.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 481, 671, 822, 793, 465
1. What is the LCM of 481, 671, 822, 793, 465?
Answer: LCM of 481, 671, 822, 793, 465 is 41121704910.
2. How to calculate the LCM of 481, 671, 822, 793, 465?
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 481, 671, 822, 793, 465.
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}.