LCM of 217, 385, 391, 527, 207
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 217, 385, 391, 527, 207 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, 385, 391, 527, 207. So, keep reading to learn more.
Given numbers are 217,385,391,527,207
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 217,385,391,527,207 is 41999265.
Find LCM of 217,385,391,527,207 with Prime Factorization
| 7 | 217, 385, 391, 527, 207 |
| 17 | 31, 55, 391, 527, 207 |
| 23 | 31, 55, 23, 31, 207 |
| 31 | 31, 55, 1, 31, 9 |
| 1, 55, 1, 1, 9 |
Multiply the prime numbers at the bottom and the left side.
7 x 17 x 23 x 31 x 1 x 55 x 1 x 1 x 9 = 41999265
Therefore, the lowest common multiple of 217,385,391,527,207 is 41999265.
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 385 x 391 x 527 x 207 = 3563511637455
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
385 : 1, 5, 7, 11, 35, 55, 77, 385
391 : 1, 17, 23, 391
527 : 1, 17, 31, 527
207 : 1, 3, 9, 23, 69, 207
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 217,385,391,527,207, is 1.
Now, the common factors can be found like this.
217:7x 31
385:5x 7x 11
391:17x 23
527:17x 31
207:3x 3x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 17x 23x 31 = 84847
Therefore, the value for common factors is 84847.
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 = 3563511637455/(1x84847)
LCM = 3563511637455/84847
LCM = 41999265
Thus, we can understand that the LCM of 217,385,391,527,207 is 41999265.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 217, 385, 391, 527, 207
1. What is the LCM of 217, 385, 391, 527, 207?
Answer: LCM of 217, 385, 391, 527, 207 is 41999265.
2. How to calculate the LCM of 217, 385, 391, 527, 207?
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, 385, 391, 527, 207.
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}.