Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 57/175, 5921/4143 quickly i.e. 337497 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 57/175, 5921/4143 is 337497.
LCM(57/175, 5921/4143) = 337497
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 57/175,5921/4143
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 57,5921
Least Common Multiple of Numerators i.e. LCM of 57,5921 is 337497.
GCF of Denominators means GCF of 175,4143 as per the given fractions.
GCF of 175,4143 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 57,5921
Given numbers has no common factors except 1. So, there LCM is their product i.e 337497
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 57,5921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,5921) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(57,5921) x common factors =1 x 1 = 1
LCM(57,5921) = ( 57 × 5921 ) / 1
LCM(57,5921) = 337497 / 1
LCM(57,5921) = 337497
Lets's calculate GCF of 175,4143
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 337497/1
Therefore the LCM of Fractions 57/175,5921/4143 is 337497
Factors of 175
List of positive integer factors of 175 that divides 175 without a remainder.
1,5,7,25,35,175
Factors of 4143
List of positive integer factors of 4143 that divides 4143 without a remainder.
1,3,1381,4143
Greatest Common Factor
We found the factors 175,4143 . The biggest common factor number is the GCF number.
So the greatest common factor 175,4143 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 57/175, 5921/4143?
Answer: LCM of Numerators as per given numbers 57/175, 5921/4143 is
LCM of Numerators i.e. for 57,5921 is 337497
GCF of denominators i.e. for 175,4143 is 1.
Thus, LCM of Fractions is 337497.Finally, LCM of Fractions for 57/175, 5921/4143 is 337497.