LCM of 789, 810, 263, 729, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 789, 810, 263, 729, 309 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 789, 810, 263, 729, 309. So, keep reading to learn more.
Given numbers are 789,810,263,729,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 789,810,263,729,309 is 197478810.
Find LCM of 789,810,263,729,309 with Prime Factorization
| 3 | 789, 810, 263, 729, 309 |
| 3 | 263, 270, 263, 243, 103 |
| 3 | 263, 90, 263, 81, 103 |
| 3 | 263, 30, 263, 27, 103 |
| 263 | 263, 10, 263, 9, 103 |
| 1, 10, 1, 9, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 3 x 263 x 1 x 10 x 1 x 9 x 103 = 197478810
Therefore, the lowest common multiple of 789,810,263,729,309 is 197478810.
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.
789 x 810 x 263 x 729 x 309 = 37862019804870
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.
789 : 1, 3, 263, 789
810 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 81, 90, 135, 162, 270, 405, 810
263 : 1, 263
729 : 1, 3, 9, 27, 81, 243, 729
309 : 1, 3, 103, 309
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 789,810,263,729,309, is 1.
Now, the common factors can be found like this.
789:3x 263
810:2x 3x 3x 3x 3x 5
263:263
729:3x 3x 3x 3x 3x 3
309:3x 103
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 3x 3x 3x 3x 263 = 191727
Therefore, the value for common factors is 191727.
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 = 37862019804870/(1x191727)
LCM = 37862019804870/191727
LCM = 197478810
Thus, we can understand that the LCM of 789,810,263,729,309 is 197478810.
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FAQs on LCM of 789, 810, 263, 729, 309
1. What is the LCM of 789, 810, 263, 729, 309?
Answer: LCM of 789, 810, 263, 729, 309 is 197478810.
2. How to calculate the LCM of 789, 810, 263, 729, 309?
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 789, 810, 263, 729, 309.
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}.