Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 386/242, 2485/1941 quickly i.e. 959210 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 386/242, 2485/1941 is 959210.
LCM(386/242, 2485/1941) = 959210
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 386/242,2485/1941
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 386,2485
Least Common Multiple of Numerators i.e. LCM of 386,2485 is 959210.
GCF of Denominators means GCF of 242,1941 as per the given fractions.
GCF of 242,1941 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 386,2485
Given numbers has no common factors except 1. So, there LCM is their product i.e 959210
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 386,2485 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(386,2485) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(386,2485) x common factors =1 x 1 = 1
LCM(386,2485) = ( 386 × 2485 ) / 1
LCM(386,2485) = 959210 / 1
LCM(386,2485) = 959210
Lets's calculate GCF of 242,1941
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 959210/1
Therefore the LCM of Fractions 386/242,2485/1941 is 959210
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Factors of 1941
List of positive integer factors of 1941 that divides 1941 without a remainder.
1,3,647,1941
Greatest Common Factor
We found the factors 242,1941 . The biggest common factor number is the GCF number.
So the greatest common factor 242,1941 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 386/242, 2485/1941?
Answer: LCM of Numerators as per given numbers 386/242, 2485/1941 is
LCM of Numerators i.e. for 386,2485 is 959210
GCF of denominators i.e. for 242,1941 is 1.
Thus, LCM of Fractions is 959210.Finally, LCM of Fractions for 386/242, 2485/1941 is 959210.