LCM of 939, 261, 116, 899
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 939, 261, 116, 899 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 939, 261, 116, 899. So, keep reading to learn more.
Given numbers are 939,261,116,899
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 939,261,116,899 is 10129932.
Find LCM of 939,261,116,899 with Prime Factorization
| 3 | 939, 261, 116, 899 |
| 29 | 313, 87, 116, 899 |
| 313, 3, 4, 31 |
Multiply the prime numbers at the bottom and the left side.
3 x 29 x 313 x 3 x 4 x 31 = 10129932
Therefore, the lowest common multiple of 939,261,116,899 is 10129932.
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.
939 x 261 x 116 x 899 = 25557818436
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.
939 : 1, 3, 313, 939
261 : 1, 3, 9, 29, 87, 261
116 : 1, 2, 4, 29, 58, 116
899 : 1, 29, 31, 899
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 939,261,116,899, is 1.
Now, the common factors can be found like this.
939:3x 313
261:3x 3x 29
116:2x 2x 29
899:29x 31
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 29x 29 = 2523
Therefore, the value for common factors is 2523.
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 = 25557818436/(1x2523)
LCM = 25557818436/2523
LCM = 10129932
Thus, we can understand that the LCM of 939,261,116,899 is 10129932.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 939, 261, 116, 899
1. What is the LCM of 939, 261, 116, 899?
Answer: LCM of 939, 261, 116, 899 is 10129932.
2. How to calculate the LCM of 939, 261, 116, 899?
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 939, 261, 116, 899.
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}.