Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 197/893, 277/391 quickly i.e. 54569 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 197/893, 277/391 is 54569.
LCM(197/893, 277/391) = 54569
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 197/893,277/391
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 197,277
Least Common Multiple of Numerators i.e. LCM of 197,277 is 54569.
GCF of Denominators means GCF of 893,391 as per the given fractions.
GCF of 893,391 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 197,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 54569
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 197,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(197,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(197,277) x common factors =1 x 1 = 1
LCM(197,277) = ( 197 × 277 ) / 1
LCM(197,277) = 54569 / 1
LCM(197,277) = 54569
Lets's calculate GCF of 893,391
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 54569/1
Therefore the LCM of Fractions 197/893,277/391 is 54569
Factors of 893
List of positive integer factors of 893 that divides 893 without a remainder.
1,19,47,893
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Greatest Common Factor
We found the factors 893,391 . The biggest common factor number is the GCF number.
So the greatest common factor 893,391 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 197/893, 277/391?
Answer: LCM of Numerators as per given numbers 197/893, 277/391 is
LCM of Numerators i.e. for 197,277 is 54569
GCF of denominators i.e. for 893,391 is 1.
Thus, LCM of Fractions is 54569.Finally, LCM of Fractions for 197/893, 277/391 is 54569.