LCM of 849, 311, 939, 239
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 849, 311, 939, 239 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 849, 311, 939, 239. So, keep reading to learn more.
Given numbers are 849,311,939,239
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 849,311,939,239 is 19751965473.
Find LCM of 849,311,939,239 with Prime Factorization
| 3 | 849, 311, 939, 239 |
| 283, 311, 313, 239 |
Multiply the prime numbers at the bottom and the left side.
3 x 283 x 311 x 313 x 239 = 19751965473
Therefore, the lowest common multiple of 849,311,939,239 is 19751965473.
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.
849 x 311 x 939 x 239 = 59255896419
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.
849 : 1, 3, 283, 849
311 : 1, 311
939 : 1, 3, 313, 939
239 : 1, 239
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 849,311,939,239, is 1.
Now, the common factors can be found like this.
849:3x 283
311:311
939:3x 313
239:239
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3 = 3
Therefore, the value for common factors is 3.
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 = 59255896419/(1x3)
LCM = 59255896419/3
LCM = 19751965473
Thus, we can understand that the LCM of 849,311,939,239 is 19751965473.
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FAQs on LCM of 849, 311, 939, 239
1. What is the LCM of 849, 311, 939, 239?
Answer: LCM of 849, 311, 939, 239 is 19751965473.
2. How to calculate the LCM of 849, 311, 939, 239?
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 849, 311, 939, 239.
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}.