LCM of 459, 899, 864, 806, 828
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 459, 899, 864, 806, 828 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 459, 899, 864, 806, 828. So, keep reading to learn more.
Given numbers are 459,899,864,806,828
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 459,899,864,806,828 is 3948149088.
Find LCM of 459,899,864,806,828 with Prime Factorization
| 2 | 459, 899, 864, 806, 828 |
| 2 | 459, 899, 432, 403, 414 |
| 3 | 459, 899, 216, 403, 207 |
| 3 | 153, 899, 72, 403, 69 |
| 3 | 51, 899, 24, 403, 23 |
| 31 | 17, 899, 8, 403, 23 |
| 17, 29, 8, 13, 23 |
Multiply the prime numbers at the bottom and the left side.
2 x 2 x 3 x 3 x 3 x 31 x 17 x 29 x 8 x 13 x 23 = 3948149088
Therefore, the lowest common multiple of 459,899,864,806,828 is 3948149088.
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.
459 x 899 x 864 x 806 x 828 = 237931256639232
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.
459 : 1, 3, 9, 17, 27, 51, 153, 459
899 : 1, 29, 31, 899
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
806 : 1, 2, 13, 26, 31, 62, 403, 806
828 : 1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 459,899,864,806,828, is 1.
Now, the common factors can be found like this.
459:3x 3x 3x 17
899:29x 31
864:2x 2x 2x 2x 2x 3x 3x 3
806:2x 13x 31
828:2x 2x 3x 3x 23
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 3x 3x 3x 3x 3x 31 = 60264
Therefore, the value for common factors is 60264.
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 = 237931256639232/(1x60264)
LCM = 237931256639232/60264
LCM = 3948149088
Thus, we can understand that the LCM of 459,899,864,806,828 is 3948149088.
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FAQs on LCM of 459, 899, 864, 806, 828
1. What is the LCM of 459, 899, 864, 806, 828?
Answer: LCM of 459, 899, 864, 806, 828 is 3948149088.
2. How to calculate the LCM of 459, 899, 864, 806, 828?
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 459, 899, 864, 806, 828.
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}.