LCM of 206, 896, 617, 324, 320
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 206, 896, 617, 324, 320 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 206, 896, 617, 324, 320. So, keep reading to learn more.
Given numbers are 206,896,617,324,320
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 206,896,617,324,320 is 23061386880.
Find LCM of 206,896,617,324,320 with Prime Factorization
| 2 | 206, 896, 617, 324, 320 |
| 2 | 103, 448, 617, 162, 160 |
| 2 | 103, 224, 617, 81, 80 |
| 2 | 103, 112, 617, 81, 40 |
| 2 | 103, 56, 617, 81, 20 |
| 2 | 103, 28, 617, 81, 10 |
| 103, 14, 617, 81, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 2 x 103 x 14 x 617 x 81 x 5 = 23061386880
Therefore, the lowest common multiple of 206,896,617,324,320 is 23061386880.
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.
206 x 896 x 617 x 324 x 320 = 11807430082560
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.
206 : 1, 2, 103, 206
896 : 1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
617 : 1, 617
324 : 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324
320 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 206,896,617,324,320, is 1.
Now, the common factors can be found like this.
206:2x 103
896:2x 2x 2x 2x 2x 2x 2x 7
617:617
324:2x 2x 3x 3x 3x 3
320:2x 2x 2x 2x 2x 2x 5
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 2x 2x 2x 2x 2 = 512
Therefore, the value for common factors is 512.
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 = 11807430082560/(1x512)
LCM = 11807430082560/512
LCM = 23061386880
Thus, we can understand that the LCM of 206,896,617,324,320 is 23061386880.
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FAQs on LCM of 206, 896, 617, 324, 320
1. What is the LCM of 206, 896, 617, 324, 320?
Answer: LCM of 206, 896, 617, 324, 320 is 23061386880.
2. How to calculate the LCM of 206, 896, 617, 324, 320?
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 206, 896, 617, 324, 320.
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}.