LCM of 243, 259, 999, 682, 187
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 243, 259, 999, 682, 187 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 243, 259, 999, 682, 187. So, keep reading to learn more.
Given numbers are 243,259,999,682,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 243,259,999,682,187 is 729691578.
Find LCM of 243,259,999,682,187 with Prime Factorization
| 3 | 243, 259, 999, 682, 187 |
| 3 | 81, 259, 333, 682, 187 |
| 3 | 27, 259, 111, 682, 187 |
| 11 | 9, 259, 37, 682, 187 |
| 37 | 9, 259, 37, 62, 17 |
| 9, 7, 1, 62, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 11 x 37 x 9 x 7 x 1 x 62 x 17 = 729691578
Therefore, the lowest common multiple of 243,259,999,682,187 is 729691578.
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.
243 x 259 x 999 x 682 x 187 = 8018580750642
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.
243 : 1, 3, 9, 27, 81, 243
259 : 1, 7, 37, 259
999 : 1, 3, 9, 27, 37, 111, 333, 999
682 : 1, 2, 11, 22, 31, 62, 341, 682
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 243,259,999,682,187, is 1.
Now, the common factors can be found like this.
243:3x 3x 3x 3x 3
259:7x 37
999:3x 3x 3x 37
682:2x 11x 31
187:11x 17
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 11x 37 = 10989
Therefore, the value for common factors is 10989.
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 = 8018580750642/(1x10989)
LCM = 8018580750642/10989
LCM = 729691578
Thus, we can understand that the LCM of 243,259,999,682,187 is 729691578.
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FAQs on LCM of 243, 259, 999, 682, 187
1. What is the LCM of 243, 259, 999, 682, 187?
Answer: LCM of 243, 259, 999, 682, 187 is 729691578.
2. How to calculate the LCM of 243, 259, 999, 682, 187?
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 243, 259, 999, 682, 187.
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}.