Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 921/53, 293/2692 quickly i.e. 269853 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 921/53, 293/2692 is 269853.
LCM(921/53, 293/2692) = 269853
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 921/53,293/2692
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 921,293
Least Common Multiple of Numerators i.e. LCM of 921,293 is 269853.
GCF of Denominators means GCF of 53,2692 as per the given fractions.
GCF of 53,2692 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 921,293
Given numbers has no common factors except 1. So, there LCM is their product i.e 269853
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 921,293 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(921,293) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(921,293) x common factors =1 x 1 = 1
LCM(921,293) = ( 921 × 293 ) / 1
LCM(921,293) = 269853 / 1
LCM(921,293) = 269853
Lets's calculate GCF of 53,2692
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 269853/1
Therefore the LCM of Fractions 921/53,293/2692 is 269853
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 2692
List of positive integer factors of 2692 that divides 2692 without a remainder.
1,2,4,673,1346,2692
Greatest Common Factor
We found the factors 53,2692 . The biggest common factor number is the GCF number.
So the greatest common factor 53,2692 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 921/53, 293/2692?
Answer: LCM of Numerators as per given numbers 921/53, 293/2692 is
LCM of Numerators i.e. for 921,293 is 269853
GCF of denominators i.e. for 53,2692 is 1.
Thus, LCM of Fractions is 269853.Finally, LCM of Fractions for 921/53, 293/2692 is 269853.