LCM of 831, 343, 343, 859
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 831, 343, 343, 859 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 831, 343, 343, 859. So, keep reading to learn more.
Given numbers are 831,343,343,859
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 831,343,343,859 is 244843347.
Find LCM of 831,343,343,859 with Prime Factorization
| 7 | 831, 343, 343, 859 |
| 7 | 831, 49, 49, 859 |
| 7 | 831, 7, 7, 859 |
| 831, 1, 1, 859 |
Multiply the prime numbers at the bottom and the left side.
7 x 7 x 7 x 831 x 1 x 1 x 859 = 244843347
Therefore, the lowest common multiple of 831,343,343,859 is 244843347.
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.
831 x 343 x 343 x 859 = 83981268021
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.
831 : 1, 3, 277, 831
343 : 1, 7, 49, 343
343 : 1, 7, 49, 343
859 : 1, 859
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 831,343,343,859, is 1.
Now, the common factors can be found like this.
831:3x 277
343:7x 7x 7
343:7x 7x 7
859:859
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
7x 7x 7 = 343
Therefore, the value for common factors is 343.
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 = 83981268021/(1x343)
LCM = 83981268021/343
LCM = 244843347
Thus, we can understand that the LCM of 831,343,343,859 is 244843347.
LCM of two or more Numbers Calculation Examples
Here are some samples of LCM of two or more Numbers calculations.
FAQs on LCM of 831, 343, 343, 859
1. What is the LCM of 831, 343, 343, 859?
Answer: LCM of 831, 343, 343, 859 is 244843347.
2. How to calculate the LCM of 831, 343, 343, 859?
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 831, 343, 343, 859.
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}.