Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 241/78, 885/24, 254/131 quickly i.e. 54174390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 241/78, 885/24, 254/131 is 54174390.
LCM(241/78, 885/24, 254/131) = 54174390
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 241/78,885/24,254/131
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 241,885,254
Least Common Multiple of Numerators i.e. LCM of 241,885,254 is 54174390.
GCF of Denominators means GCF of 78,24,131 as per the given fractions.
GCF of 78,24,131 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 241,885,254
Given numbers has no common factors except 1. So, there LCM is their product i.e 54174390
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 241,885,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(241,885,254) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(241,885,254) x common factors =1 x 1 = 1
LCM(241,885,254) = ( 241 × 885 × 254 ) / 1
LCM(241,885,254) = 54174390 / 1
LCM(241,885,254) = 54174390
Lets's calculate GCF of 78,24,131
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54174390/1
Therefore the LCM of Fractions 241/78,885/24,254/131 is 54174390
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 131
List of positive integer factors of 131 that divides 131 without a remainder.
1,131
Greatest Common Factor
We found the factors 78,24,131 . The biggest common factor number is the GCF number.
So the greatest common factor 78,24,131 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 241/78, 885/24, 254/131?
Answer: LCM of Numerators as per given numbers 241/78, 885/24, 254/131 is
LCM of Numerators i.e. for 241,885,254 is 54174390
GCF of denominators i.e. for 78,24,131 is 1.
Thus, LCM of Fractions is 54174390.Finally, LCM of Fractions for 241/78, 885/24, 254/131 is 54174390.