LCM of 486, 558, 538, 891, 341
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 486, 558, 538, 891, 341 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 486, 558, 538, 891, 341. So, keep reading to learn more.
Given numbers are 486,558,538,891,341
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 486,558,538,891,341 is 44580294.
Find LCM of 486,558,538,891,341 with Prime Factorization
| 2 | 486, 558, 538, 891, 341 |
| 3 | 243, 279, 269, 891, 341 |
| 3 | 81, 93, 269, 297, 341 |
| 3 | 27, 31, 269, 99, 341 |
| 3 | 9, 31, 269, 33, 341 |
| 11 | 3, 31, 269, 11, 341 |
| 31 | 3, 31, 269, 1, 31 |
| 3, 1, 269, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 3 x 11 x 31 x 3 x 1 x 269 x 1 x 1 = 44580294
Therefore, the lowest common multiple of 486,558,538,891,341 is 44580294.
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.
486 x 558 x 538 x 891 x 341 = 44328682820664
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.
486 : 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
558 : 1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558
538 : 1, 2, 269, 538
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
341 : 1, 11, 31, 341
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 486,558,538,891,341, is 1.
Now, the common factors can be found like this.
486:2x 3x 3x 3x 3x 3
558:2x 3x 3x 31
538:2x 269
891:3x 3x 3x 3x 11
341:11x 31
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 3x 3x 3x 11x 31 = 994356
Therefore, the value for common factors is 994356.
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 = 44328682820664/(1x994356)
LCM = 44328682820664/994356
LCM = 44580294
Thus, we can understand that the LCM of 486,558,538,891,341 is 44580294.
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FAQs on LCM of 486, 558, 538, 891, 341
1. What is the LCM of 486, 558, 538, 891, 341?
Answer: LCM of 486, 558, 538, 891, 341 is 44580294.
2. How to calculate the LCM of 486, 558, 538, 891, 341?
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 486, 558, 538, 891, 341.
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}.