Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2327/706, 7481/707 quickly i.e. 17408287 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2327/706, 7481/707 is 17408287.
LCM(2327/706, 7481/707) = 17408287
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2327/706,7481/707
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 2327,7481
Least Common Multiple of Numerators i.e. LCM of 2327,7481 is 17408287.
GCF of Denominators means GCF of 706,707 as per the given fractions.
GCF of 706,707 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2327,7481
Given numbers has no common factors except 1. So, there LCM is their product i.e 17408287
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 2327,7481 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2327,7481) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2327,7481) x common factors =1 x 1 = 1
LCM(2327,7481) = ( 2327 × 7481 ) / 1
LCM(2327,7481) = 17408287 / 1
LCM(2327,7481) = 17408287
Lets's calculate GCF of 706,707
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17408287/1
Therefore the LCM of Fractions 2327/706,7481/707 is 17408287
Factors of 706
List of positive integer factors of 706 that divides 706 without a remainder.
1,2,353,706
Factors of 707
List of positive integer factors of 707 that divides 707 without a remainder.
1,7,101,707
Greatest Common Factor
We found the factors 706,707 . The biggest common factor number is the GCF number.
So the greatest common factor 706,707 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 2327/706, 7481/707?
Answer: LCM of Numerators as per given numbers 2327/706, 7481/707 is
LCM of Numerators i.e. for 2327,7481 is 17408287
GCF of denominators i.e. for 706,707 is 1.
Thus, LCM of Fractions is 17408287.Finally, LCM of Fractions for 2327/706, 7481/707 is 17408287.