Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6101/242, 2897/9523 quickly i.e. 17674597 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6101/242, 2897/9523 is 17674597.
LCM(6101/242, 2897/9523) = 17674597
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6101/242,2897/9523
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 6101,2897
Least Common Multiple of Numerators i.e. LCM of 6101,2897 is 17674597.
GCF of Denominators means GCF of 242,9523 as per the given fractions.
GCF of 242,9523 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6101,2897
Given numbers has no common factors except 1. So, there LCM is their product i.e 17674597
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 6101,2897 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6101,2897) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6101,2897) x common factors =1 x 1 = 1
LCM(6101,2897) = ( 6101 × 2897 ) / 1
LCM(6101,2897) = 17674597 / 1
LCM(6101,2897) = 17674597
Lets's calculate GCF of 242,9523
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17674597/1
Therefore the LCM of Fractions 6101/242,2897/9523 is 17674597
Factors of 242
List of positive integer factors of 242 that divides 242 without a remainder.
1,2,11,22,121,242
Factors of 9523
List of positive integer factors of 9523 that divides 9523 without a remainder.
1,89,107,9523
Greatest Common Factor
We found the factors 242,9523 . The biggest common factor number is the GCF number.
So the greatest common factor 242,9523 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 6101/242, 2897/9523?
Answer: LCM of Numerators as per given numbers 6101/242, 2897/9523 is
LCM of Numerators i.e. for 6101,2897 is 17674597
GCF of denominators i.e. for 242,9523 is 1.
Thus, LCM of Fractions is 17674597.Finally, LCM of Fractions for 6101/242, 2897/9523 is 17674597.