Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 773/79, 241/5759 quickly i.e. 186293 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 773/79, 241/5759 is 186293.
LCM(773/79, 241/5759) = 186293
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 773/79,241/5759
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 773,241
Least Common Multiple of Numerators i.e. LCM of 773,241 is 186293.
GCF of Denominators means GCF of 79,5759 as per the given fractions.
GCF of 79,5759 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 773,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 186293
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 773,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(773,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(773,241) x common factors =1 x 1 = 1
LCM(773,241) = ( 773 × 241 ) / 1
LCM(773,241) = 186293 / 1
LCM(773,241) = 186293
Lets's calculate GCF of 79,5759
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 186293/1
Therefore the LCM of Fractions 773/79,241/5759 is 186293
Factors of 79
List of positive integer factors of 79 that divides 79 without a remainder.
1,79
Factors of 5759
List of positive integer factors of 5759 that divides 5759 without a remainder.
1,13,443,5759
Greatest Common Factor
We found the factors 79,5759 . The biggest common factor number is the GCF number.
So the greatest common factor 79,5759 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 773/79, 241/5759?
Answer: LCM of Numerators as per given numbers 773/79, 241/5759 is
LCM of Numerators i.e. for 773,241 is 186293
GCF of denominators i.e. for 79,5759 is 1.
Thus, LCM of Fractions is 186293.Finally, LCM of Fractions for 773/79, 241/5759 is 186293.