LCM of 909, 815, 324, 693, 168
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 815, 324, 693, 168 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 909, 815, 324, 693, 168. So, keep reading to learn more.
Given numbers are 909,815,324,693,168
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,815,324,693,168 is 4107189240.
Find LCM of 909,815,324,693,168 with Prime Factorization
| 2 | 909, 815, 324, 693, 168 |
| 2 | 909, 815, 162, 693, 84 |
| 3 | 909, 815, 81, 693, 42 |
| 3 | 303, 815, 27, 231, 14 |
| 7 | 101, 815, 9, 77, 14 |
| 101, 815, 9, 11, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 7 x 101 x 815 x 9 x 11 x 2 = 4107189240
Therefore, the lowest common multiple of 909,815,324,693,168 is 4107189240.
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.
909 x 815 x 324 x 693 x 168 = 27945315588960
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.
909 : 1, 3, 9, 101, 303, 909
815 : 1, 5, 163, 815
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
693 : 1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
168 : 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,815,324,693,168, is 1.
Now, the common factors can be found like this.
909:3x 3x 101
815:5x 163
324:2x 2x 3x 3x 3x 3
693:3x 3x 7x 11
168:2x 2x 2x 3x 7
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 3x 3x 3x 3x 3x 7 = 6804
Therefore, the value for common factors is 6804.
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 = 27945315588960/(1x6804)
LCM = 27945315588960/6804
LCM = 4107189240
Thus, we can understand that the LCM of 909,815,324,693,168 is 4107189240.
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FAQs on LCM of 909, 815, 324, 693, 168
1. What is the LCM of 909, 815, 324, 693, 168?
Answer: LCM of 909, 815, 324, 693, 168 is 4107189240.
2. How to calculate the LCM of 909, 815, 324, 693, 168?
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 909, 815, 324, 693, 168.
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}.