LCM of 839, 405, 960, 160
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 839, 405, 960, 160 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 839, 405, 960, 160. So, keep reading to learn more.
Given numbers are 839,405,960,160
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,405,960,160 is 21746880.
Find LCM of 839,405,960,160 with Prime Factorization
| 2 | 839, 405, 960, 160 |
| 2 | 839, 405, 480, 80 |
| 2 | 839, 405, 240, 40 |
| 2 | 839, 405, 120, 20 |
| 2 | 839, 405, 60, 10 |
| 3 | 839, 405, 30, 5 |
| 5 | 839, 135, 10, 5 |
| 839, 27, 2, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 2 x 2 x 3 x 5 x 839 x 27 x 2 x 1 = 21746880
Therefore, the lowest common multiple of 839,405,960,160 is 21746880.
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.
839 x 405 x 960 x 160 = 52192512000
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.
839 : 1, 839
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
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
160 : 1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,405,960,160, is 1.
Now, the common factors can be found like this.
839:839
405:3x 3x 3x 3x 5
960:2x 2x 2x 2x 2x 2x 3x 5
160:2x 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 3x 5x 5 = 2400
Therefore, the value for common factors is 2400.
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 = 52192512000/(1x2400)
LCM = 52192512000/2400
LCM = 21746880
Thus, we can understand that the LCM of 839,405,960,160 is 21746880.
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FAQs on LCM of 839, 405, 960, 160
1. What is the LCM of 839, 405, 960, 160?
Answer: LCM of 839, 405, 960, 160 is 21746880.
2. How to calculate the LCM of 839, 405, 960, 160?
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 839, 405, 960, 160.
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}.