Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 931/272, 7893/7086 quickly i.e. 7348383/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 931/272, 7893/7086 is 7348383/2.
LCM(931/272, 7893/7086) = 7348383/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 931/272,7893/7086
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 931,7893
Least Common Multiple of Numerators i.e. LCM of 931,7893 is 7348383.
GCF of Denominators means GCF of 272,7086 as per the given fractions.
GCF of 272,7086 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 931,7893
Given numbers has no common factors except 1. So, there LCM is their product i.e 7348383
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 931,7893 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(931,7893) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(931,7893) x common factors =1 x 1 = 1
LCM(931,7893) = ( 931 × 7893 ) / 1
LCM(931,7893) = 7348383 / 1
LCM(931,7893) = 7348383
Lets's calculate GCF of 272,7086
2 | 272, 7086 |
136, 3543 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7348383/2
Therefore the LCM of Fractions 931/272,7893/7086 is 7348383/2
Factors of 272
List of positive integer factors of 272 that divides 272 without a remainder.
1,2,4,8,16,17,34,68,136,272
Factors of 7086
List of positive integer factors of 7086 that divides 7086 without a remainder.
1,2,3,6,1181,2362,3543,7086
Greatest Common Factor
We found the factors 272,7086 . The biggest common factor number is the GCF number.
So the greatest common factor 272,7086 is 2.
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 931/272, 7893/7086?
Answer: LCM of Numerators as per given numbers 931/272, 7893/7086 is
LCM of Numerators i.e. for 931,7893 is 7348383
GCF of denominators i.e. for 272,7086 is 2.
Thus, LCM of Fractions is 7348383/2.Finally, LCM of Fractions for 931/272, 7893/7086 is 7348383/2.