LCM of 913, 843, 634, 864, 891
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 913, 843, 634, 864, 891 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 913, 843, 634, 864, 891. So, keep reading to learn more.
Given numbers are 913,843,634,864,891
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 913,843,634,864,891 is 210800364192.
Find LCM of 913,843,634,864,891 with Prime Factorization
| 2 | 913, 843, 634, 864, 891 |
| 3 | 913, 843, 317, 432, 891 |
| 3 | 913, 281, 317, 144, 297 |
| 3 | 913, 281, 317, 48, 99 |
| 11 | 913, 281, 317, 16, 33 |
| 83, 281, 317, 16, 3 |
Multiply the prime numbers at the bottom and the left side.
2 x 3 x 3 x 3 x 11 x 83 x 281 x 317 x 16 x 3 = 210800364192
Therefore, the lowest common multiple of 913,843,634,864,891 is 210800364192.
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.
913 x 843 x 634 x 864 x 891 = 375646248990144
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.
913 : 1, 11, 83, 913
843 : 1, 3, 281, 843
634 : 1, 2, 317, 634
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
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 913,843,634,864,891, is 1.
Now, the common factors can be found like this.
913:11x 83
843:3x 281
634:2x 317
864:2x 2x 2x 2x 2x 3x 3x 3
891:3x 3x 3x 3x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 3x 3x 3x 3x 11 = 1782
Therefore, the value for common factors is 1782.
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 = 375646248990144/(1x1782)
LCM = 375646248990144/1782
LCM = 210800364192
Thus, we can understand that the LCM of 913,843,634,864,891 is 210800364192.
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FAQs on LCM of 913, 843, 634, 864, 891
1. What is the LCM of 913, 843, 634, 864, 891?
Answer: LCM of 913, 843, 634, 864, 891 is 210800364192.
2. How to calculate the LCM of 913, 843, 634, 864, 891?
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 913, 843, 634, 864, 891.
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}.