LCM of 227, 231, 682, 833, 186
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 227, 231, 682, 833, 186 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 227, 231, 682, 833, 186. So, keep reading to learn more.
Given numbers are 227,231,682,833,186
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 227,231,682,833,186 is 386880186.
Find LCM of 227,231,682,833,186 with Prime Factorization
| 2 | 227, 231, 682, 833, 186 |
| 3 | 227, 231, 341, 833, 93 |
| 7 | 227, 77, 341, 833, 31 |
| 11 | 227, 11, 341, 119, 31 |
| 31 | 227, 1, 31, 119, 31 |
| 227, 1, 1, 119, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 7 x 11 x 31 x 227 x 1 x 1 x 119 x 1 = 386880186
Therefore, the lowest common multiple of 227,231,682,833,186 is 386880186.
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.
227 x 231 x 682 x 833 x 186 = 5540898023892
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.
227 : 1, 227
231 : 1, 3, 7, 11, 21, 33, 77, 231
682 : 1, 2, 11, 22, 31, 62, 341, 682
833 : 1, 7, 17, 49, 119, 833
186 : 1, 2, 3, 6, 31, 62, 93, 186
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 227,231,682,833,186, is 1.
Now, the common factors can be found like this.
227:227
231:3x 7x 11
682:2x 11x 31
833:7x 7x 17
186:2x 3x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 7x 11x 31 = 14322
Therefore, the value for common factors is 14322.
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 = 5540898023892/(1x14322)
LCM = 5540898023892/14322
LCM = 386880186
Thus, we can understand that the LCM of 227,231,682,833,186 is 386880186.
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FAQs on LCM of 227, 231, 682, 833, 186
1. What is the LCM of 227, 231, 682, 833, 186?
Answer: LCM of 227, 231, 682, 833, 186 is 386880186.
2. How to calculate the LCM of 227, 231, 682, 833, 186?
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 227, 231, 682, 833, 186.
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}.