LCM of 309, 405, 871, 208, 903
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 309, 405, 871, 208, 903 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 309, 405, 871, 208, 903. So, keep reading to learn more.
Given numbers are 309,405,871,208,903
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 309,405,871,208,903 is 174983412240.
Find LCM of 309,405,871,208,903 with Prime Factorization
| 3 | 309, 405, 871, 208, 903 |
| 13 | 103, 135, 871, 208, 301 |
| 103, 135, 67, 16, 301 |
Multiply the prime numbers at the bottom and the left side.
3 x 13 x 103 x 135 x 67 x 16 x 301 = 174983412240
Therefore, the lowest common multiple of 309,405,871,208,903 is 174983412240.
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.
309 x 405 x 871 x 208 x 903 = 20473059232080
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.
309 : 1, 3, 103, 309
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
871 : 1, 13, 67, 871
208 : 1, 2, 4, 8, 13, 16, 26, 52, 104, 208
903 : 1, 3, 7, 21, 43, 129, 301, 903
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 309,405,871,208,903, is 1.
Now, the common factors can be found like this.
309:3x 103
405:3x 3x 3x 3x 5
871:13x 67
208:2x 2x 2x 2x 13
903:3x 7x 43
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 13 = 117
Therefore, the value for common factors is 117.
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 = 20473059232080/(1x117)
LCM = 20473059232080/117
LCM = 174983412240
Thus, we can understand that the LCM of 309,405,871,208,903 is 174983412240.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 309, 405, 871, 208, 903
1. What is the LCM of 309, 405, 871, 208, 903?
Answer: LCM of 309, 405, 871, 208, 903 is 174983412240.
2. How to calculate the LCM of 309, 405, 871, 208, 903?
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 309, 405, 871, 208, 903.
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}.