LCM of 809, 834, 988, 676, 413
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 809, 834, 988, 676, 413 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 809, 834, 988, 676, 413. So, keep reading to learn more.
Given numbers are 809,834,988,676,413
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 809,834,988,676,413 is 1789513277916.
Find LCM of 809,834,988,676,413 with Prime Factorization
| 2 | 809, 834, 988, 676, 413 |
| 2 | 809, 417, 494, 338, 413 |
| 13 | 809, 417, 247, 169, 413 |
| 809, 417, 19, 13, 413 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 13 x 809 x 417 x 19 x 13 x 413 = 1789513277916
Therefore, the lowest common multiple of 809,834,988,676,413 is 1789513277916.
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.
809 x 834 x 988 x 676 x 413 = 186109380903264
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.
809 : 1, 809
834 : 1, 2, 3, 6, 139, 278, 417, 834
988 : 1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
676 : 1, 2, 4, 13, 26, 52, 169, 338, 676
413 : 1, 7, 59, 413
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 809,834,988,676,413, is 1.
Now, the common factors can be found like this.
809:809
834:2x 3x 139
988:2x 2x 13x 19
676:2x 2x 13x 13
413:7x 59
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 2x 13 = 104
Therefore, the value for common factors is 104.
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 = 186109380903264/(1x104)
LCM = 186109380903264/104
LCM = 1789513277916
Thus, we can understand that the LCM of 809,834,988,676,413 is 1789513277916.
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FAQs on LCM of 809, 834, 988, 676, 413
1. What is the LCM of 809, 834, 988, 676, 413?
Answer: LCM of 809, 834, 988, 676, 413 is 1789513277916.
2. How to calculate the LCM of 809, 834, 988, 676, 413?
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 809, 834, 988, 676, 413.
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}.