Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/942, 8896/4312 quickly i.e. 120096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/942, 8896/4312 is 120096.
LCM(54/942, 8896/4312) = 120096
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/942,8896/4312
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 54,8896
Least Common Multiple of Numerators i.e. LCM of 54,8896 is 240192.
GCF of Denominators means GCF of 942,4312 as per the given fractions.
GCF of 942,4312 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,8896
2 | 54, 8896 |
27, 4448 |
∴ So the LCM of the given numbers is 2 x 27 x 4448 = 240192
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 54,8896 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,8896) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(54,8896) x common factors =2 x 1 = 2
LCM(54,8896) = ( 54 × 8896 ) / 2
LCM(54,8896) = 480384 / 2
LCM(54,8896) = 240192
Lets's calculate GCF of 942,4312
2 | 942, 4312 |
471, 2156 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 240192/2
Therefore the LCM of Fractions 54/942,8896/4312 is 120096
Factors of 942
List of positive integer factors of 942 that divides 942 without a remainder.
1,2,3,6,157,314,471,942
Factors of 4312
List of positive integer factors of 4312 that divides 4312 without a remainder.
1,2,4,7,8,11,14,22,28,44,49,56,77,88,98,154,196,308,392,539,616,1078,2156,4312
Greatest Common Factor
We found the factors 942,4312 . The biggest common factor number is the GCF number.
So the greatest common factor 942,4312 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 54/942, 8896/4312?
Answer: LCM of Numerators as per given numbers 54/942, 8896/4312 is
LCM of Numerators i.e. for 54,8896 is 240192
GCF of denominators i.e. for 942,4312 is 2.
Thus, LCM of Fractions is 120096.Finally, LCM of Fractions for 54/942, 8896/4312 is 120096.