LCM of 855, 315, 829, 891, 969
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 855, 315, 829, 891, 969 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 855, 315, 829, 891, 969. So, keep reading to learn more.
Given numbers are 855,315,829,891,969
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 855,315,829,891,969 is 8350313895.
Find LCM of 855,315,829,891,969 with Prime Factorization
| 3 | 855, 315, 829, 891, 969 |
| 3 | 285, 105, 829, 297, 323 |
| 5 | 95, 35, 829, 99, 323 |
| 19 | 19, 7, 829, 99, 323 |
| 1, 7, 829, 99, 17 |
Multiply the prime numbers at the bottom and the left side.
3 x 3 x 5 x 19 x 1 x 7 x 829 x 99 x 17 = 8350313895
Therefore, the lowest common multiple of 855,315,829,891,969 is 8350313895.
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.
855 x 315 x 829 x 891 x 969 = 192766996266075
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.
855 : 1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855
315 : 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
829 : 1, 829
891 : 1, 3, 9, 11, 27, 33, 81, 99, 297, 891
969 : 1, 3, 17, 19, 51, 57, 323, 969
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 855,315,829,891,969, is 1.
Now, the common factors can be found like this.
855:3x 3x 5x 19
315:3x 3x 5x 7
829:829
891:3x 3x 3x 3x 11
969:3x 17x 19
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
3x 3x 3x 3x 3x 5x 19 = 23085
Therefore, the value for common factors is 23085.
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 = 192766996266075/(1x23085)
LCM = 192766996266075/23085
LCM = 8350313895
Thus, we can understand that the LCM of 855,315,829,891,969 is 8350313895.
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FAQs on LCM of 855, 315, 829, 891, 969
1. What is the LCM of 855, 315, 829, 891, 969?
Answer: LCM of 855, 315, 829, 891, 969 is 8350313895.
2. How to calculate the LCM of 855, 315, 829, 891, 969?
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 855, 315, 829, 891, 969.
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}.