Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2567/769, 1727/6821 quickly i.e. 4433209 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2567/769, 1727/6821 is 4433209.
LCM(2567/769, 1727/6821) = 4433209
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2567/769,1727/6821
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 2567,1727
Least Common Multiple of Numerators i.e. LCM of 2567,1727 is 4433209.
GCF of Denominators means GCF of 769,6821 as per the given fractions.
GCF of 769,6821 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2567,1727
Given numbers has no common factors except 1. So, there LCM is their product i.e 4433209
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 2567,1727 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2567,1727) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2567,1727) x common factors =1 x 1 = 1
LCM(2567,1727) = ( 2567 × 1727 ) / 1
LCM(2567,1727) = 4433209 / 1
LCM(2567,1727) = 4433209
Lets's calculate GCF of 769,6821
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4433209/1
Therefore the LCM of Fractions 2567/769,1727/6821 is 4433209
Factors of 769
List of positive integer factors of 769 that divides 769 without a remainder.
1,769
Factors of 6821
List of positive integer factors of 6821 that divides 6821 without a remainder.
1,19,359,6821
Greatest Common Factor
We found the factors 769,6821 . The biggest common factor number is the GCF number.
So the greatest common factor 769,6821 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 2567/769, 1727/6821?
Answer: LCM of Numerators as per given numbers 2567/769, 1727/6821 is
LCM of Numerators i.e. for 2567,1727 is 4433209
GCF of denominators i.e. for 769,6821 is 1.
Thus, LCM of Fractions is 4433209.Finally, LCM of Fractions for 2567/769, 1727/6821 is 4433209.