LCM of 920, 897, 635, 415
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 920, 897, 635, 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 920, 897, 635, 415. So, keep reading to learn more.
Given numbers are 920,897,635,415
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 920,897,635,415 is 378211080.
Find LCM of 920,897,635,415 with Prime Factorization
| 5 | 920, 897, 635, 415 |
| 23 | 184, 897, 127, 83 |
| 8, 39, 127, 83 |
Multiply the prime numbers at the bottom and the left side.
5 x 23 x 8 x 39 x 127 x 83 = 378211080
Therefore, the lowest common multiple of 920,897,635,415 is 378211080.
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.
920 x 897 x 635 x 415 = 217471371000
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.
920 : 1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
897 : 1, 3, 13, 23, 39, 69, 299, 897
635 : 1, 5, 127, 635
415 : 1, 5, 83, 415
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 920,897,635,415, is 1.
Now, the common factors can be found like this.
920:2x 2x 2x 5x 23
897:3x 13x 23
635:5x 127
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 5x 23 = 575
Therefore, the value for common factors is 575.
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 = 217471371000/(1x575)
LCM = 217471371000/575
LCM = 378211080
Thus, we can understand that the LCM of 920,897,635,415 is 378211080.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 920, 897, 635, 415
1. What is the LCM of 920, 897, 635, 415?
Answer: LCM of 920, 897, 635, 415 is 378211080.
2. How to calculate the LCM of 920, 897, 635, 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 920, 897, 635, 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}.