Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 375/57, 203/37, 212/269 quickly i.e. 16138500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 375/57, 203/37, 212/269 is 16138500.
LCM(375/57, 203/37, 212/269) = 16138500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 375/57,203/37,212/269
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 375,203,212
Least Common Multiple of Numerators i.e. LCM of 375,203,212 is 16138500.
GCF of Denominators means GCF of 57,37,269 as per the given fractions.
GCF of 57,37,269 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 375,203,212
Given numbers has no common factors except 1. So, there LCM is their product i.e 16138500
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 375,203,212 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(375,203,212) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(375,203,212) x common factors =1 x 1 = 1
LCM(375,203,212) = ( 375 × 203 × 212 ) / 1
LCM(375,203,212) = 16138500 / 1
LCM(375,203,212) = 16138500
Lets's calculate GCF of 57,37,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16138500/1
Therefore the LCM of Fractions 375/57,203/37,212/269 is 16138500
Factors of 57
List of positive integer factors of 57 that divides 57 without a remainder.
1,3,19,57
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Greatest Common Factor
We found the factors 57,37,269 . The biggest common factor number is the GCF number.
So the greatest common factor 57,37,269 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 375/57, 203/37, 212/269?
Answer: LCM of Numerators as per given numbers 375/57, 203/37, 212/269 is
LCM of Numerators i.e. for 375,203,212 is 16138500
GCF of denominators i.e. for 57,37,269 is 1.
Thus, LCM of Fractions is 16138500.Finally, LCM of Fractions for 375/57, 203/37, 212/269 is 16138500.