LCM of 820, 205, 580, 958, 269
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 820, 205, 580, 958, 269 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 820, 205, 580, 958, 269. So, keep reading to learn more.
Given numbers are 820,205,580,958,269
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 820,205,580,958,269 is 3064076780.
Find LCM of 820,205,580,958,269 with Prime Factorization
| 2 | 820, 205, 580, 958, 269 |
| 2 | 410, 205, 290, 479, 269 |
| 5 | 205, 205, 145, 479, 269 |
| 41 | 41, 41, 29, 479, 269 |
| 1, 1, 29, 479, 269 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 5 x 41 x 1 x 1 x 29 x 479 x 269 = 3064076780
Therefore, the lowest common multiple of 820,205,580,958,269 is 3064076780.
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.
820 x 205 x 580 x 958 x 269 = 25125429596000
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.
820 : 1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820
205 : 1, 5, 41, 205
580 : 1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580
958 : 1, 2, 479, 958
269 : 1, 269
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 820,205,580,958,269, is 1.
Now, the common factors can be found like this.
820:2x 2x 5x 41
205:5x 41
580:2x 2x 5x 29
958:2x 479
269:269
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 2x 5x 5x 41 = 8200
Therefore, the value for common factors is 8200.
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 = 25125429596000/(1x8200)
LCM = 25125429596000/8200
LCM = 3064076780
Thus, we can understand that the LCM of 820,205,580,958,269 is 3064076780.
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FAQs on LCM of 820, 205, 580, 958, 269
1. What is the LCM of 820, 205, 580, 958, 269?
Answer: LCM of 820, 205, 580, 958, 269 is 3064076780.
2. How to calculate the LCM of 820, 205, 580, 958, 269?
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 820, 205, 580, 958, 269.
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}.