LCM of 839, 960, 905, 385, 200
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 839, 960, 905, 385, 200 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, 960, 905, 385, 200. So, keep reading to learn more.
Given numbers are 839,960,905,385,200
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,960,905,385,200 is 56127086400.
Find LCM of 839,960,905,385,200 with Prime Factorization
| 2 | 839, 960, 905, 385, 200 |
| 2 | 839, 480, 905, 385, 100 |
| 2 | 839, 240, 905, 385, 50 |
| 5 | 839, 120, 905, 385, 25 |
| 839, 24, 181, 77, 5 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 5 x 839 x 24 x 181 x 77 x 5 = 56127086400
Therefore, the lowest common multiple of 839,960,905,385,200 is 56127086400.
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 960 x 905 x 385 x 200 = 56127086400000
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
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
905 : 1, 5, 181, 905
385 : 1, 5, 7, 11, 35, 55, 77, 385
200 : 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,960,905,385,200, is 1.
Now, the common factors can be found like this.
839:839
960:2x 2x 2x 2x 2x 2x 3x 5
905:5x 181
385:5x 7x 11
200:2x 2x 2x 5x 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 5x 5x 5 = 1000
Therefore, the value for common factors is 1000.
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 = 56127086400000/(1x1000)
LCM = 56127086400000/1000
LCM = 56127086400
Thus, we can understand that the LCM of 839,960,905,385,200 is 56127086400.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 839, 960, 905, 385, 200
1. What is the LCM of 839, 960, 905, 385, 200?
Answer: LCM of 839, 960, 905, 385, 200 is 56127086400.
2. How to calculate the LCM of 839, 960, 905, 385, 200?
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, 960, 905, 385, 200.
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}.