LCM of 478, 622, 135, 486, 311
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 478, 622, 135, 486, 311 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 478, 622, 135, 486, 311. So, keep reading to learn more.
Given numbers are 478,622,135,486,311
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 478,622,135,486,311 is 180619470.
Find LCM of 478,622,135,486,311 with Prime Factorization
| 2 | 478, 622, 135, 486, 311 |
| 3 | 239, 311, 135, 243, 311 |
| 3 | 239, 311, 45, 81, 311 |
| 3 | 239, 311, 15, 27, 311 |
| 311 | 239, 311, 5, 9, 311 |
| 239, 1, 5, 9, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 311 x 239 x 1 x 5 x 9 x 1 = 180619470
Therefore, the lowest common multiple of 478,622,135,486,311 is 180619470.
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.
478 x 622 x 135 x 486 x 311 = 6066646758360
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.
478 : 1, 2, 239, 478
622 : 1, 2, 311, 622
135 : 1, 3, 5, 9, 15, 27, 45, 135
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
311 : 1, 311
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 478,622,135,486,311, is 1.
Now, the common factors can be found like this.
478:2x 239
622:2x 311
135:3x 3x 3x 5
486:2x 3x 3x 3x 3x 3
311:311
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 2x 3x 3x 3x 311 = 33588
Therefore, the value for common factors is 33588.
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 = 6066646758360/(1x33588)
LCM = 6066646758360/33588
LCM = 180619470
Thus, we can understand that the LCM of 478,622,135,486,311 is 180619470.
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FAQs on LCM of 478, 622, 135, 486, 311
1. What is the LCM of 478, 622, 135, 486, 311?
Answer: LCM of 478, 622, 135, 486, 311 is 180619470.
2. How to calculate the LCM of 478, 622, 135, 486, 311?
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 478, 622, 135, 486, 311.
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}.