LCM of 405, 861, 897, 527, 187
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 861, 897, 527, 187 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 405, 861, 897, 527, 187. So, keep reading to learn more.
Given numbers are 405,861,897,527,187
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,861,897,527,187 is 201470474205.
Find LCM of 405,861,897,527,187 with Prime Factorization
| 3 | 405, 861, 897, 527, 187 |
| 17 | 135, 287, 299, 527, 187 |
| 135, 287, 299, 31, 11 |
Multiply the prime numbers at the bottom and the left side.
3 x 17 x 135 x 287 x 299 x 31 x 11 = 201470474205
Therefore, the lowest common multiple of 405,861,897,527,187 is 201470474205.
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.
405 x 861 x 897 x 527 x 187 = 30824982553365
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
861 : 1, 3, 7, 21, 41, 123, 287, 861
897 : 1, 3, 13, 23, 39, 69, 299, 897
527 : 1, 17, 31, 527
187 : 1, 11, 17, 187
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,861,897,527,187, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
861:3x 7x 41
897:3x 13x 23
527:17x 31
187:11x 17
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 17 = 153
Therefore, the value for common factors is 153.
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 = 30824982553365/(1x153)
LCM = 30824982553365/153
LCM = 201470474205
Thus, we can understand that the LCM of 405,861,897,527,187 is 201470474205.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 405, 861, 897, 527, 187
1. What is the LCM of 405, 861, 897, 527, 187?
Answer: LCM of 405, 861, 897, 527, 187 is 201470474205.
2. How to calculate the LCM of 405, 861, 897, 527, 187?
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 405, 861, 897, 527, 187.
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}.