Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/884, 4108/5174 quickly i.e. 4266 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/884, 4108/5174 is 4266.
LCM(27/884, 4108/5174) = 4266
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/884,4108/5174
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 27,4108
Least Common Multiple of Numerators i.e. LCM of 27,4108 is 110916.
GCF of Denominators means GCF of 884,5174 as per the given fractions.
GCF of 884,5174 is 26 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,4108
Given numbers has no common factors except 1. So, there LCM is their product i.e 110916
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 27,4108 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,4108) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,4108) x common factors =1 x 1 = 1
LCM(27,4108) = ( 27 × 4108 ) / 1
LCM(27,4108) = 110916 / 1
LCM(27,4108) = 110916
Lets's calculate GCF of 884,5174
2 | 884, 5174 |
13 | 442, 2587 |
34, 199 |
∴ So the GCF of the given numbers is 2 x 13 = 26
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 110916/26
Therefore the LCM of Fractions 27/884,4108/5174 is 4266
Factors of 884
List of positive integer factors of 884 that divides 884 without a remainder.
1,2,4,13,17,26,34,52,68,221,442,884
Factors of 5174
List of positive integer factors of 5174 that divides 5174 without a remainder.
1,2,13,26,199,398,2587,5174
Greatest Common Factor
We found the factors 884,5174 . The biggest common factor number is the GCF number.
So the greatest common factor 884,5174 is 26.
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 27/884, 4108/5174?
Answer: LCM of Numerators as per given numbers 27/884, 4108/5174 is
LCM of Numerators i.e. for 27,4108 is 110916
GCF of denominators i.e. for 884,5174 is 26.
Thus, LCM of Fractions is 4266.Finally, LCM of Fractions for 27/884, 4108/5174 is 4266.