Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 779/49, 277/2298 quickly i.e. 215783 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 779/49, 277/2298 is 215783.
LCM(779/49, 277/2298) = 215783
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 779/49,277/2298
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 779,277
Least Common Multiple of Numerators i.e. LCM of 779,277 is 215783.
GCF of Denominators means GCF of 49,2298 as per the given fractions.
GCF of 49,2298 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 779,277
Given numbers has no common factors except 1. So, there LCM is their product i.e 215783
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 779,277 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(779,277) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(779,277) x common factors =1 x 1 = 1
LCM(779,277) = ( 779 × 277 ) / 1
LCM(779,277) = 215783 / 1
LCM(779,277) = 215783
Lets's calculate GCF of 49,2298
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215783/1
Therefore the LCM of Fractions 779/49,277/2298 is 215783
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 2298
List of positive integer factors of 2298 that divides 2298 without a remainder.
1,2,3,6,383,766,1149,2298
Greatest Common Factor
We found the factors 49,2298 . The biggest common factor number is the GCF number.
So the greatest common factor 49,2298 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 779/49, 277/2298?
Answer: LCM of Numerators as per given numbers 779/49, 277/2298 is
LCM of Numerators i.e. for 779,277 is 215783
GCF of denominators i.e. for 49,2298 is 1.
Thus, LCM of Fractions is 215783.Finally, LCM of Fractions for 779/49, 277/2298 is 215783.