LCM of 856, 629, 217, 960, 246
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 856, 629, 217, 960, 246 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 856, 629, 217, 960, 246. So, keep reading to learn more.
Given numbers are 856,629,217,960,246
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 856,629,217,960,246 is 574842999360.
Find LCM of 856,629,217,960,246 with Prime Factorization
| 2 | 856, 629, 217, 960, 246 |
| 2 | 428, 629, 217, 480, 123 |
| 2 | 214, 629, 217, 240, 123 |
| 3 | 107, 629, 217, 120, 123 |
| 107, 629, 217, 40, 41 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 107 x 629 x 217 x 40 x 41 = 574842999360
Therefore, the lowest common multiple of 856,629,217,960,246 is 574842999360.
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.
856 x 629 x 217 x 960 x 246 = 27592463969280
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.
856 : 1, 2, 4, 8, 107, 214, 428, 856
629 : 1, 17, 37, 629
217 : 1, 7, 31, 217
960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960
246 : 1, 2, 3, 6, 41, 82, 123, 246
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 856,629,217,960,246, is 1.
Now, the common factors can be found like this.
856:2x 2x 2x 107
629:17x 37
217:7x 31
960:2x 2x 2x 2x 2x 2x 3x 5
246:2x 3x 41
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 2x 3 = 48
Therefore, the value for common factors is 48.
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 = 27592463969280/(1x48)
LCM = 27592463969280/48
LCM = 574842999360
Thus, we can understand that the LCM of 856,629,217,960,246 is 574842999360.
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FAQs on LCM of 856, 629, 217, 960, 246
1. What is the LCM of 856, 629, 217, 960, 246?
Answer: LCM of 856, 629, 217, 960, 246 is 574842999360.
2. How to calculate the LCM of 856, 629, 217, 960, 246?
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 856, 629, 217, 960, 246.
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}.