Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/223, 7616/1676 quickly i.e. 434112 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/223, 7616/1676 is 434112.
LCM(57/223, 7616/1676) = 434112
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/223,7616/1676
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 57,7616
Least Common Multiple of Numerators i.e. LCM of 57,7616 is 434112.
GCF of Denominators means GCF of 223,1676 as per the given fractions.
GCF of 223,1676 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,7616
Given numbers has no common factors except 1. So, there LCM is their product i.e 434112
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 57,7616 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,7616) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,7616) x common factors =1 x 1 = 1
LCM(57,7616) = ( 57 × 7616 ) / 1
LCM(57,7616) = 434112 / 1
LCM(57,7616) = 434112
Lets's calculate GCF of 223,1676
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 434112/1
Therefore the LCM of Fractions 57/223,7616/1676 is 434112
Factors of 223
List of positive integer factors of 223 that divides 223 without a remainder.
1,223
Factors of 1676
List of positive integer factors of 1676 that divides 1676 without a remainder.
1,2,4,419,838,1676
Greatest Common Factor
We found the factors 223,1676 . The biggest common factor number is the GCF number.
So the greatest common factor 223,1676 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 57/223, 7616/1676?
Answer: LCM of Numerators as per given numbers 57/223, 7616/1676 is
LCM of Numerators i.e. for 57,7616 is 434112
GCF of denominators i.e. for 223,1676 is 1.
Thus, LCM of Fractions is 434112.Finally, LCM of Fractions for 57/223, 7616/1676 is 434112.