LCM of 217, 218, 504, 369, 122
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 217, 218, 504, 369, 122 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 217, 218, 504, 369, 122. So, keep reading to learn more.
Given numbers are 217,218,504,369,122
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,218,504,369,122 is 4259243016.
Find LCM of 217,218,504,369,122 with Prime Factorization
| 2 | 217, 218, 504, 369, 122 |
| 3 | 217, 109, 252, 369, 61 |
| 3 | 217, 109, 84, 123, 61 |
| 7 | 217, 109, 28, 41, 61 |
| 31, 109, 4, 41, 61 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 7 x 31 x 109 x 4 x 41 x 61 = 4259243016
Therefore, the lowest common multiple of 217,218,504,369,122 is 4259243016.
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.
217 x 218 x 504 x 369 x 122 = 1073329240032
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.
217 : 1, 7, 31, 217
218 : 1, 2, 109, 218
504 : 1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504
369 : 1, 3, 9, 41, 123, 369
122 : 1, 2, 61, 122
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,218,504,369,122, is 1.
Now, the common factors can be found like this.
217:7x 31
218:2x 109
504:2x 2x 2x 3x 3x 7
369:3x 3x 41
122:2x 61
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 3x 3x 7 = 252
Therefore, the value for common factors is 252.
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 = 1073329240032/(1x252)
LCM = 1073329240032/252
LCM = 4259243016
Thus, we can understand that the LCM of 217,218,504,369,122 is 4259243016.
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FAQs on LCM of 217, 218, 504, 369, 122
1. What is the LCM of 217, 218, 504, 369, 122?
Answer: LCM of 217, 218, 504, 369, 122 is 4259243016.
2. How to calculate the LCM of 217, 218, 504, 369, 122?
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 217, 218, 504, 369, 122.
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}.