LCM of 405, 245, 311, 365, 966
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 405, 245, 311, 365, 966 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 405, 245, 311, 365, 966. So, keep reading to learn more.
Given numbers are 405,245,311,365,966
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 405,245,311,365,966 is 20724887610.
Find LCM of 405,245,311,365,966 with Prime Factorization
| 3 | 405, 245, 311, 365, 966 |
| 5 | 135, 245, 311, 365, 322 |
| 7 | 27, 49, 311, 73, 322 |
| 27, 7, 311, 73, 46 |
Multiply the prime numbers at the bottom and the left side.
3 x 5 x 7 x 27 x 7 x 311 x 73 x 46 = 20724887610
Therefore, the lowest common multiple of 405,245,311,365,966 is 20724887610.
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.
405 x 245 x 311 x 365 x 966 = 10880565995250
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.
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
245 : 1, 5, 7, 35, 49, 245
311 : 1, 311
365 : 1, 5, 73, 365
966 : 1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 405,245,311,365,966, is 1.
Now, the common factors can be found like this.
405:3x 3x 3x 3x 5
245:5x 7x 7
311:311
365:5x 73
966:2x 3x 7x 23
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 5x 5x 7 = 525
Therefore, the value for common factors is 525.
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 = 10880565995250/(1x525)
LCM = 10880565995250/525
LCM = 20724887610
Thus, we can understand that the LCM of 405,245,311,365,966 is 20724887610.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 405, 245, 311, 365, 966
1. What is the LCM of 405, 245, 311, 365, 966?
Answer: LCM of 405, 245, 311, 365, 966 is 20724887610.
2. How to calculate the LCM of 405, 245, 311, 365, 966?
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 405, 245, 311, 365, 966.
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}.