Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2842/292, 7241/5017 quickly i.e. 20578922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2842/292, 7241/5017 is 20578922.
LCM(2842/292, 7241/5017) = 20578922
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2842/292,7241/5017
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 2842,7241
Least Common Multiple of Numerators i.e. LCM of 2842,7241 is 20578922.
GCF of Denominators means GCF of 292,5017 as per the given fractions.
GCF of 292,5017 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2842,7241
Given numbers has no common factors except 1. So, there LCM is their product i.e 20578922
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 2842,7241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2842,7241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2842,7241) x common factors =1 x 1 = 1
LCM(2842,7241) = ( 2842 × 7241 ) / 1
LCM(2842,7241) = 20578922 / 1
LCM(2842,7241) = 20578922
Lets's calculate GCF of 292,5017
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20578922/1
Therefore the LCM of Fractions 2842/292,7241/5017 is 20578922
Factors of 292
List of positive integer factors of 292 that divides 292 without a remainder.
1,2,4,73,146,292
Factors of 5017
List of positive integer factors of 5017 that divides 5017 without a remainder.
1,29,173,5017
Greatest Common Factor
We found the factors 292,5017 . The biggest common factor number is the GCF number.
So the greatest common factor 292,5017 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 2842/292, 7241/5017?
Answer: LCM of Numerators as per given numbers 2842/292, 7241/5017 is
LCM of Numerators i.e. for 2842,7241 is 20578922
GCF of denominators i.e. for 292,5017 is 1.
Thus, LCM of Fractions is 20578922.Finally, LCM of Fractions for 2842/292, 7241/5017 is 20578922.