Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 54/908, 8368/5514 quickly i.e. 112968 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 54/908, 8368/5514 is 112968.
LCM(54/908, 8368/5514) = 112968
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 54/908,8368/5514
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 54,8368
Least Common Multiple of Numerators i.e. LCM of 54,8368 is 225936.
GCF of Denominators means GCF of 908,5514 as per the given fractions.
GCF of 908,5514 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 54,8368
2 | 54, 8368 |
27, 4184 |
∴ So the LCM of the given numbers is 2 x 27 x 4184 = 225936
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 54,8368 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(54,8368) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(54,8368) x common factors =2 x 1 = 2
LCM(54,8368) = ( 54 × 8368 ) / 2
LCM(54,8368) = 451872 / 2
LCM(54,8368) = 225936
Lets's calculate GCF of 908,5514
2 | 908, 5514 |
454, 2757 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 225936/2
Therefore the LCM of Fractions 54/908,8368/5514 is 112968
Factors of 908
List of positive integer factors of 908 that divides 908 without a remainder.
1,2,4,227,454,908
Factors of 5514
List of positive integer factors of 5514 that divides 5514 without a remainder.
1,2,3,6,919,1838,2757,5514
Greatest Common Factor
We found the factors 908,5514 . The biggest common factor number is the GCF number.
So the greatest common factor 908,5514 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 54/908, 8368/5514?
Answer: LCM of Numerators as per given numbers 54/908, 8368/5514 is
LCM of Numerators i.e. for 54,8368 is 225936
GCF of denominators i.e. for 908,5514 is 2.
Thus, LCM of Fractions is 112968.Finally, LCM of Fractions for 54/908, 8368/5514 is 112968.