Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9269/31, 8585/837 quickly i.e. 2566915 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9269/31, 8585/837 is 2566915.
LCM(9269/31, 8585/837) = 2566915
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9269/31,8585/837
Formula to find LCM of Fractions is
LCM = LCM of Numerators/GCF of Denominators
As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators
In the given fractions LCM of Numerators means LCM of 9269,8585
Least Common Multiple of Numerators i.e. LCM of 9269,8585 is 79574365.
GCF of Denominators means GCF of 31,837 as per the given fractions.
GCF of 31,837 is 31 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9269,8585
Given numbers has no common factors except 1. So, there LCM is their product i.e 79574365
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 9269,8585 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9269,8585) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9269,8585) x common factors =1 x 1 = 1
LCM(9269,8585) = ( 9269 × 8585 ) / 1
LCM(9269,8585) = 79574365 / 1
LCM(9269,8585) = 79574365
Lets's calculate GCF of 31,837
31 | 31, 837 |
1, 27 |
∴ So the GCF of the given numbers is 31 = 31
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 79574365/31
Therefore the LCM of Fractions 9269/31,8585/837 is 2566915
Factors of 31
List of positive integer factors of 31 that divides 31 without a remainder.
1,31
Factors of 837
List of positive integer factors of 837 that divides 837 without a remainder.
1,3,9,27,31,93,279,837
Greatest Common Factor
We found the factors 31,837 . The biggest common factor number is the GCF number.
So the greatest common factor 31,837 is 31.
Here are some samples of LCM of Fractions calculations.
Here are some samples of LCM of Fractions calculations.
1. How to find LCM in Fractions?
Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.
2. What is the LCM of Fractions for 9269/31, 8585/837?
Answer: LCM of Numerators as per given numbers 9269/31, 8585/837 is
LCM of Numerators i.e. for 9269,8585 is 79574365
GCF of denominators i.e. for 31,837 is 31.
Thus, LCM of Fractions is 2566915.Finally, LCM of Fractions for 9269/31, 8585/837 is 2566915.