LCM of 205, 935, 815, 963, 255
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 205, 935, 815, 963, 255 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 205, 935, 815, 963, 255. So, keep reading to learn more.
Given numbers are 205,935,815,963,255
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 205,935,815,963,255 is 6017406615.
Find LCM of 205,935,815,963,255 with Prime Factorization
| 3 | 205, 935, 815, 963, 255 |
| 5 | 205, 935, 815, 321, 85 |
| 17 | 41, 187, 163, 321, 17 |
| 41, 11, 163, 321, 1 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 17 x 41 x 11 x 163 x 321 x 1 = 6017406615
Therefore, the lowest common multiple of 205,935,815,963,255 is 6017406615.
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.
205 x 935 x 815 x 963 x 255 = 38360967170625
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.
205 : 1, 5, 41, 205
935 : 1, 5, 11, 17, 55, 85, 187, 935
815 : 1, 5, 163, 815
963 : 1, 3, 9, 107, 321, 963
255 : 1, 3, 5, 15, 17, 51, 85, 255
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 205,935,815,963,255, is 1.
Now, the common factors can be found like this.
205:5x 41
935:5x 11x 17
815:5x 163
963:3x 3x 107
255:3x 5x 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 5x 5x 5x 17 = 6375
Therefore, the value for common factors is 6375.
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 = 38360967170625/(1x6375)
LCM = 38360967170625/6375
LCM = 6017406615
Thus, we can understand that the LCM of 205,935,815,963,255 is 6017406615.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 205, 935, 815, 963, 255
1. What is the LCM of 205, 935, 815, 963, 255?
Answer: LCM of 205, 935, 815, 963, 255 is 6017406615.
2. How to calculate the LCM of 205, 935, 815, 963, 255?
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 205, 935, 815, 963, 255.
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}.