LCM of 333, 405, 486, 309
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 333, 405, 486, 309 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 333, 405, 486, 309. So, keep reading to learn more.
Given numbers are 333,405,486,309
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 333,405,486,309 is 9260730.
Find LCM of 333,405,486,309 with Prime Factorization
| 3 | 333, 405, 486, 309 |
| 3 | 111, 135, 162, 103 |
| 3 | 37, 45, 54, 103 |
| 3 | 37, 15, 18, 103 |
| 37, 5, 6, 103 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 3 x 3 x 37 x 5 x 6 x 103 = 9260730
Therefore, the lowest common multiple of 333,405,486,309 is 9260730.
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.
333 x 405 x 486 x 309 = 20253216510
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.
333 : 1, 3, 9, 37, 111, 333
405 : 1, 3, 5, 9, 15, 27, 45, 81, 135, 405
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
309 : 1, 3, 103, 309
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 333,405,486,309, is 3.
Now, the common factors can be found like this.
333:3x 3x 37
405:3x 3x 3x 3x 5
486:2x 3x 3x 3x 3x 3
309:3x 103
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 3x 3x 3x 3 = 729
Therefore, the value for common factors is 729.
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 = 20253216510/(3x729)
LCM = 20253216510/2187
LCM = 9260730
Thus, we can understand that the LCM of 333,405,486,309 is 9260730.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 333, 405, 486, 309
1. What is the LCM of 333, 405, 486, 309?
Answer: LCM of 333, 405, 486, 309 is 9260730.
2. How to calculate the LCM of 333, 405, 486, 309?
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 333, 405, 486, 309.
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}.