Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/23, 24/81, 761/292 quickly i.e. 566184 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/23, 24/81, 761/292 is 566184.
LCM(31/23, 24/81, 761/292) = 566184
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/23,24/81,761/292
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 31,24,761
Least Common Multiple of Numerators i.e. LCM of 31,24,761 is 566184.
GCF of Denominators means GCF of 23,81,292 as per the given fractions.
GCF of 23,81,292 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,24,761
Given numbers has no common factors except 1. So, there LCM is their product i.e 566184
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 31,24,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,24,761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,24,761) x common factors =1 x 1 = 1
LCM(31,24,761) = ( 31 × 24 × 761 ) / 1
LCM(31,24,761) = 566184 / 1
LCM(31,24,761) = 566184
Lets's calculate GCF of 23,81,292
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 566184/1
Therefore the LCM of Fractions 31/23,24/81,761/292 is 566184
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Greatest Common Factor
We found the factors 23,81,292 . The biggest common factor number is the GCF number.
So the greatest common factor 23,81,292 is 1.
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 31/23, 24/81, 761/292?
Answer: LCM of Numerators as per given numbers 31/23, 24/81, 761/292 is
LCM of Numerators i.e. for 31,24,761 is 566184
GCF of denominators i.e. for 23,81,292 is 1.
Thus, LCM of Fractions is 566184.Finally, LCM of Fractions for 31/23, 24/81, 761/292 is 566184.