Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 239/24, 537/4949 quickly i.e. 128343 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 239/24, 537/4949 is 128343.
LCM(239/24, 537/4949) = 128343
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 239/24,537/4949
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 239,537
Least Common Multiple of Numerators i.e. LCM of 239,537 is 128343.
GCF of Denominators means GCF of 24,4949 as per the given fractions.
GCF of 24,4949 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 239,537
Given numbers has no common factors except 1. So, there LCM is their product i.e 128343
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 239,537 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(239,537) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(239,537) x common factors =1 x 1 = 1
LCM(239,537) = ( 239 × 537 ) / 1
LCM(239,537) = 128343 / 1
LCM(239,537) = 128343
Lets's calculate GCF of 24,4949
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 128343/1
Therefore the LCM of Fractions 239/24,537/4949 is 128343
Factors of 24
List of positive integer factors of 24 that divides 24 without a remainder.
1,2,3,4,6,8,12,24
Factors of 4949
List of positive integer factors of 4949 that divides 4949 without a remainder.
1,7,49,101,707,4949
Greatest Common Factor
We found the factors 24,4949 . The biggest common factor number is the GCF number.
So the greatest common factor 24,4949 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 239/24, 537/4949?
Answer: LCM of Numerators as per given numbers 239/24, 537/4949 is
LCM of Numerators i.e. for 239,537 is 128343
GCF of denominators i.e. for 24,4949 is 1.
Thus, LCM of Fractions is 128343.Finally, LCM of Fractions for 239/24, 537/4949 is 128343.