Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7209/841, 2744/787 quickly i.e. 19781496 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7209/841, 2744/787 is 19781496.
LCM(7209/841, 2744/787) = 19781496
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7209/841,2744/787
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 7209,2744
Least Common Multiple of Numerators i.e. LCM of 7209,2744 is 19781496.
GCF of Denominators means GCF of 841,787 as per the given fractions.
GCF of 841,787 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7209,2744
Given numbers has no common factors except 1. So, there LCM is their product i.e 19781496
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 7209,2744 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7209,2744) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7209,2744) x common factors =1 x 1 = 1
LCM(7209,2744) = ( 7209 × 2744 ) / 1
LCM(7209,2744) = 19781496 / 1
LCM(7209,2744) = 19781496
Lets's calculate GCF of 841,787
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19781496/1
Therefore the LCM of Fractions 7209/841,2744/787 is 19781496
Factors of 841
List of positive integer factors of 841 that divides 841 without a remainder.
1,29,841
Factors of 787
List of positive integer factors of 787 that divides 787 without a remainder.
1,787
Greatest Common Factor
We found the factors 841,787 . The biggest common factor number is the GCF number.
So the greatest common factor 841,787 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 7209/841, 2744/787?
Answer: LCM of Numerators as per given numbers 7209/841, 2744/787 is
LCM of Numerators i.e. for 7209,2744 is 19781496
GCF of denominators i.e. for 841,787 is 1.
Thus, LCM of Fractions is 19781496.Finally, LCM of Fractions for 7209/841, 2744/787 is 19781496.