Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 256/239, 2097/7390 quickly i.e. 536832 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 256/239, 2097/7390 is 536832.
LCM(256/239, 2097/7390) = 536832
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 256/239,2097/7390
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 256,2097
Least Common Multiple of Numerators i.e. LCM of 256,2097 is 536832.
GCF of Denominators means GCF of 239,7390 as per the given fractions.
GCF of 239,7390 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 256,2097
Given numbers has no common factors except 1. So, there LCM is their product i.e 536832
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 256,2097 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(256,2097) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(256,2097) x common factors =1 x 1 = 1
LCM(256,2097) = ( 256 × 2097 ) / 1
LCM(256,2097) = 536832 / 1
LCM(256,2097) = 536832
Lets's calculate GCF of 239,7390
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 536832/1
Therefore the LCM of Fractions 256/239,2097/7390 is 536832
Factors of 239
List of positive integer factors of 239 that divides 239 without a remainder.
1,239
Factors of 7390
List of positive integer factors of 7390 that divides 7390 without a remainder.
1,2,5,10,739,1478,3695,7390
Greatest Common Factor
We found the factors 239,7390 . The biggest common factor number is the GCF number.
So the greatest common factor 239,7390 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 256/239, 2097/7390?
Answer: LCM of Numerators as per given numbers 256/239, 2097/7390 is
LCM of Numerators i.e. for 256,2097 is 536832
GCF of denominators i.e. for 239,7390 is 1.
Thus, LCM of Fractions is 536832.Finally, LCM of Fractions for 256/239, 2097/7390 is 536832.