Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/110, 2251/3701 quickly i.e. 128307 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/110, 2251/3701 is 128307.
LCM(57/110, 2251/3701) = 128307
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/110,2251/3701
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 57,2251
Least Common Multiple of Numerators i.e. LCM of 57,2251 is 128307.
GCF of Denominators means GCF of 110,3701 as per the given fractions.
GCF of 110,3701 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,2251
Given numbers has no common factors except 1. So, there LCM is their product i.e 128307
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 57,2251 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,2251) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,2251) x common factors =1 x 1 = 1
LCM(57,2251) = ( 57 × 2251 ) / 1
LCM(57,2251) = 128307 / 1
LCM(57,2251) = 128307
Lets's calculate GCF of 110,3701
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128307/1
Therefore the LCM of Fractions 57/110,2251/3701 is 128307
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Factors of 3701
List of positive integer factors of 3701 that divides 3701 without a remainder.
1,3701
Greatest Common Factor
We found the factors 110,3701 . The biggest common factor number is the GCF number.
So the greatest common factor 110,3701 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 57/110, 2251/3701?
Answer: LCM of Numerators as per given numbers 57/110, 2251/3701 is
LCM of Numerators i.e. for 57,2251 is 128307
GCF of denominators i.e. for 110,3701 is 1.
Thus, LCM of Fractions is 128307.Finally, LCM of Fractions for 57/110, 2251/3701 is 128307.