Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 389/46, 242/2597 quickly i.e. 94138 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 389/46, 242/2597 is 94138.
LCM(389/46, 242/2597) = 94138
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 389/46,242/2597
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 389,242
Least Common Multiple of Numerators i.e. LCM of 389,242 is 94138.
GCF of Denominators means GCF of 46,2597 as per the given fractions.
GCF of 46,2597 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 389,242
Given numbers has no common factors except 1. So, there LCM is their product i.e 94138
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 389,242 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(389,242) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(389,242) x common factors =1 x 1 = 1
LCM(389,242) = ( 389 × 242 ) / 1
LCM(389,242) = 94138 / 1
LCM(389,242) = 94138
Lets's calculate GCF of 46,2597
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 94138/1
Therefore the LCM of Fractions 389/46,242/2597 is 94138
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 2597
List of positive integer factors of 2597 that divides 2597 without a remainder.
1,7,49,53,371,2597
Greatest Common Factor
We found the factors 46,2597 . The biggest common factor number is the GCF number.
So the greatest common factor 46,2597 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 389/46, 242/2597?
Answer: LCM of Numerators as per given numbers 389/46, 242/2597 is
LCM of Numerators i.e. for 389,242 is 94138
GCF of denominators i.e. for 46,2597 is 1.
Thus, LCM of Fractions is 94138.Finally, LCM of Fractions for 389/46, 242/2597 is 94138.