LCM of 839, 395, 845, 790
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 839, 395, 845, 790 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, 395, 845, 790. So, keep reading to learn more.
Given numbers are 839,395,845,790
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 839,395,845,790 is 112014890.
Find LCM of 839,395,845,790 with Prime Factorization
| 5 | 839, 395, 845, 790 |
| 79 | 839, 79, 169, 158 |
| 839, 1, 169, 2 |
Multiply the prime numbers at the bottom and the left side.
5 x 79 x 839 x 1 x 169 x 2 = 112014890
Therefore, the lowest common multiple of 839,395,845,790 is 112014890.
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 395 x 845 x 790 = 221229407750
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
395 : 1, 5, 79, 395
845 : 1, 5, 13, 65, 169, 845
790 : 1, 2, 5, 10, 79, 158, 395, 790
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 839,395,845,790, is 1.
Now, the common factors can be found like this.
839:839
395:5x 79
845:5x 13x 13
790:2x 5x 79
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
5x 5x 79 = 1975
Therefore, the value for common factors is 1975.
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 = 221229407750/(1x1975)
LCM = 221229407750/1975
LCM = 112014890
Thus, we can understand that the LCM of 839,395,845,790 is 112014890.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 839, 395, 845, 790
1. What is the LCM of 839, 395, 845, 790?
Answer: LCM of 839, 395, 845, 790 is 112014890.
2. How to calculate the LCM of 839, 395, 845, 790?
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, 395, 845, 790.
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}.