LCM of 498, 408, 864, 891, 315
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 498, 408, 864, 891, 315 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 498, 408, 864, 891, 315. So, keep reading to learn more.
Given numbers are 498,408,864,891,315
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 498,408,864,891,315 is 1408065120.
Find LCM of 498,408,864,891,315 with Prime Factorization
| 2 | 498, 408, 864, 891, 315 |
| 2 | 249, 204, 432, 891, 315 |
| 2 | 249, 102, 216, 891, 315 |
| 3 | 249, 51, 108, 891, 315 |
| 3 | 83, 17, 36, 297, 105 |
| 3 | 83, 17, 12, 99, 35 |
| 83, 17, 4, 33, 35 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 2 x 3 x 3 x 3 x 83 x 17 x 4 x 33 x 35 = 1408065120
Therefore, the lowest common multiple of 498,408,864,891,315 is 1408065120.
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.
498 x 408 x 864 x 891 x 315 = 49271014679040
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.
498 : 1, 2, 3, 6, 83, 166, 249, 498
408 : 1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408
864 : 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
3 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 498,408,864,891,315, is 3.
Now, the common factors can be found like this.
498:2x 3x 83
408:2x 2x 2x 3x 17
864:2x 2x 2x 2x 2x 3x 3x 3
891:3x 3x 3x 3x 11
315:3x 3x 5x 7
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 2x 2x 3x 3x 3x 3x 3x 3 = 11664
Therefore, the value for common factors is 11664.
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 = 49271014679040/(3x11664)
LCM = 49271014679040/34992
LCM = 1408065120
Thus, we can understand that the LCM of 498,408,864,891,315 is 1408065120.
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FAQs on LCM of 498, 408, 864, 891, 315
1. What is the LCM of 498, 408, 864, 891, 315?
Answer: LCM of 498, 408, 864, 891, 315 is 1408065120.
2. How to calculate the LCM of 498, 408, 864, 891, 315?
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 498, 408, 864, 891, 315.
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}.