LCM of 9834, 8085
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 9834, 8085 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 9834, 8085. So, keep reading to learn more.
Given numbers are 9834,8085
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 9834,8085 is 2409330.
Find LCM of 9834,8085 with Prime Factorization
| 3 | 9834, 8085 |
| 11 | 3278, 2695 |
| 298, 245 |
Multiply the prime numbers at the bottom and the left side.
3 x 11 x 298 x 245 = 2409330
Therefore, the lowest common multiple of 9834,8085 is 2409330.
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.
9834 x 8085 = 79507890
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.
9834 : 1, 2, 3, 6, 11, 22, 33, 66, 149, 298, 447, 894, 1639, 3278, 4917, 9834
8085 : 1, 3, 5, 7, 11, 15, 21, 33, 35, 49, 55, 77, 105, 147, 165, 231, 245, 385, 539, 735, 1155, 1617, 2695, 8085
33 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 9834,8085, is 33.
Now, the common factors can be found like this.
9834:2x 3x 11x 149
8085:3x 5x 7x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
= 1
Therefore, the value for common factors is 1.
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 = 79507890/(33x1)
LCM = 79507890/33
LCM = 2409330
Thus, we can understand that the LCM of 9834,8085 is 2409330.
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FAQs on LCM of 9834, 8085
1. What is the LCM of 9834, 8085?
Answer: LCM of 9834, 8085 is 2409330.
2. How to calculate the LCM of 9834, 8085?
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 9834, 8085.
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}.