LCM of 209, 323, 455, 231, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 209, 323, 455, 231, 415 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 209, 323, 455, 231, 415. So, keep reading to learn more.
Given numbers are 209,323,455,231,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 209,323,455,231,415 is 402537135.
Find LCM of 209,323,455,231,415 with Prime Factorization
| 5 | 209, 323, 455, 231, 415 |
| 7 | 209, 323, 91, 231, 83 |
| 11 | 209, 323, 13, 33, 83 |
| 19 | 19, 323, 13, 3, 83 |
| 1, 17, 13, 3, 83 |
Multiply the prime numbers at the bottom and the left side.
5 x 7 x 11 x 19 x 1 x 17 x 13 x 3 x 83 = 402537135
Therefore, the lowest common multiple of 209,323,455,231,415 is 402537135.
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.
209 x 323 x 455 x 231 x 415 = 2944559142525
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.
209 : 1, 11, 19, 209
323 : 1, 17, 19, 323
455 : 1, 5, 7, 13, 35, 65, 91, 455
231 : 1, 3, 7, 11, 21, 33, 77, 231
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 209,323,455,231,415, is 1.
Now, the common factors can be found like this.
209:11x 19
323:17x 19
455:5x 7x 13
231:3x 7x 11
415:5x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 7x 11x 19 = 7315
Therefore, the value for common factors is 7315.
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 = 2944559142525/(1x7315)
LCM = 2944559142525/7315
LCM = 402537135
Thus, we can understand that the LCM of 209,323,455,231,415 is 402537135.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 209, 323, 455, 231, 415
1. What is the LCM of 209, 323, 455, 231, 415?
Answer: LCM of 209, 323, 455, 231, 415 is 402537135.
2. How to calculate the LCM of 209, 323, 455, 231, 415?
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 209, 323, 455, 231, 415.
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}.