LCM of 231, 212, 214, 174, 696
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 231, 212, 214, 174, 696 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 231, 212, 214, 174, 696. So, keep reading to learn more.
Given numbers are 231,212,214,174,696
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 231,212,214,174,696 is 303920232.
Find LCM of 231,212,214,174,696 with Prime Factorization
| 2 | 231, 212, 214, 174, 696 |
| 2 | 231, 106, 107, 87, 348 |
| 3 | 231, 53, 107, 87, 174 |
| 29 | 77, 53, 107, 29, 58 |
| 77, 53, 107, 1, 2 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 29 x 77 x 53 x 107 x 1 x 2 = 303920232
Therefore, the lowest common multiple of 231,212,214,174,696 is 303920232.
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.
231 x 212 x 214 x 174 x 696 = 1269170888832
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.
231 : 1, 3, 7, 11, 21, 33, 77, 231
212 : 1, 2, 4, 53, 106, 212
214 : 1, 2, 107, 214
174 : 1, 2, 3, 6, 29, 58, 87, 174
696 : 1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 231,212,214,174,696, is 1.
Now, the common factors can be found like this.
231:3x 7x 11
212:2x 2x 53
214:2x 107
174:2x 3x 29
696:2x 2x 2x 3x 29
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 2x 2x 3x 3x 29 = 4176
Therefore, the value for common factors is 4176.
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 = 1269170888832/(1x4176)
LCM = 1269170888832/4176
LCM = 303920232
Thus, we can understand that the LCM of 231,212,214,174,696 is 303920232.
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FAQs on LCM of 231, 212, 214, 174, 696
1. What is the LCM of 231, 212, 214, 174, 696?
Answer: LCM of 231, 212, 214, 174, 696 is 303920232.
2. How to calculate the LCM of 231, 212, 214, 174, 696?
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 231, 212, 214, 174, 696.
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}.