LCM of 615, 468, 243, 845, 231
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 615, 468, 243, 845, 231 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 615, 468, 243, 845, 231. So, keep reading to learn more.
Given numbers are 615,468,243,845,231
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 615,468,243,845,231 is 2592970380.
Find LCM of 615,468,243,845,231 with Prime Factorization
| 3 | 615, 468, 243, 845, 231 |
| 3 | 205, 156, 81, 845, 77 |
| 5 | 205, 52, 27, 845, 77 |
| 13 | 41, 52, 27, 169, 77 |
| 41, 4, 27, 13, 77 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 13 x 41 x 4 x 27 x 13 x 77 = 2592970380
Therefore, the lowest common multiple of 615,468,243,845,231 is 2592970380.
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.
615 x 468 x 243 x 845 x 231 = 13651989050700
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.
615 : 1, 3, 5, 15, 41, 123, 205, 615
468 : 1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468
243 : 1, 3, 9, 27, 81, 243
845 : 1, 5, 13, 65, 169, 845
231 : 1, 3, 7, 11, 21, 33, 77, 231
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 615,468,243,845,231, is 1.
Now, the common factors can be found like this.
615:3x 5x 41
468:2x 2x 3x 3x 13
243:3x 3x 3x 3x 3
845:5x 13x 13
231:3x 7x 11
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 5x 13 = 5265
Therefore, the value for common factors is 5265.
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 = 13651989050700/(1x5265)
LCM = 13651989050700/5265
LCM = 2592970380
Thus, we can understand that the LCM of 615,468,243,845,231 is 2592970380.
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FAQs on LCM of 615, 468, 243, 845, 231
1. What is the LCM of 615, 468, 243, 845, 231?
Answer: LCM of 615, 468, 243, 845, 231 is 2592970380.
2. How to calculate the LCM of 615, 468, 243, 845, 231?
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 615, 468, 243, 845, 231.
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}.