Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 346/38, 1593/127 quickly i.e. 551178 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 346/38, 1593/127 is 551178.
LCM(346/38, 1593/127) = 551178
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 346/38,1593/127
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 346,1593
Least Common Multiple of Numerators i.e. LCM of 346,1593 is 551178.
GCF of Denominators means GCF of 38,127 as per the given fractions.
GCF of 38,127 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 346,1593
Given numbers has no common factors except 1. So, there LCM is their product i.e 551178
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 346,1593 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(346,1593) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(346,1593) x common factors =1 x 1 = 1
LCM(346,1593) = ( 346 × 1593 ) / 1
LCM(346,1593) = 551178 / 1
LCM(346,1593) = 551178
Lets's calculate GCF of 38,127
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 551178/1
Therefore the LCM of Fractions 346/38,1593/127 is 551178
Factors of 38
List of positive integer factors of 38 that divides 38 without a remainder.
1,2,19,38
Factors of 127
List of positive integer factors of 127 that divides 127 without a remainder.
1,127
Greatest Common Factor
We found the factors 38,127 . The biggest common factor number is the GCF number.
So the greatest common factor 38,127 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 346/38, 1593/127?
Answer: LCM of Numerators as per given numbers 346/38, 1593/127 is
LCM of Numerators i.e. for 346,1593 is 551178
GCF of denominators i.e. for 38,127 is 1.
Thus, LCM of Fractions is 551178.Finally, LCM of Fractions for 346/38, 1593/127 is 551178.