LCM of 909, 939, 270, 951, 996
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 909, 939, 270, 951, 996 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 909, 939, 270, 951, 996. So, keep reading to learn more.
Given numbers are 909,939,270,951,996
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 909,939,270,951,996 is 449155607220.
Find LCM of 909,939,270,951,996 with Prime Factorization
| 2 | 909, 939, 270, 951, 996 |
| 3 | 909, 939, 135, 951, 498 |
| 3 | 303, 313, 45, 317, 166 |
| 101, 313, 15, 317, 166 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 101 x 313 x 15 x 317 x 166 = 449155607220
Therefore, the lowest common multiple of 909,939,270,951,996 is 449155607220.
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.
909 x 939 x 270 x 951 x 996 = 218289625108920
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.
909 : 1, 3, 9, 101, 303, 909
939 : 1, 3, 313, 939
270 : 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
951 : 1, 3, 317, 951
996 : 1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 909,939,270,951,996, is 3.
Now, the common factors can be found like this.
909:3x 3x 101
939:3x 313
270:2x 3x 3x 3x 5
951:3x 317
996:2x 2x 3x 83
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3 = 162
Therefore, the value for common factors is 162.
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 = 218289625108920/(3x162)
LCM = 218289625108920/486
LCM = 449155607220
Thus, we can understand that the LCM of 909,939,270,951,996 is 449155607220.
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FAQs on LCM of 909, 939, 270, 951, 996
1. What is the LCM of 909, 939, 270, 951, 996?
Answer: LCM of 909, 939, 270, 951, 996 is 449155607220.
2. How to calculate the LCM of 909, 939, 270, 951, 996?
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 909, 939, 270, 951, 996.
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}.