Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1241/331, 7782/391 quickly i.e. 9657462 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1241/331, 7782/391 is 9657462.
LCM(1241/331, 7782/391) = 9657462
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1241/331,7782/391
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 1241,7782
Least Common Multiple of Numerators i.e. LCM of 1241,7782 is 9657462.
GCF of Denominators means GCF of 331,391 as per the given fractions.
GCF of 331,391 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1241,7782
Given numbers has no common factors except 1. So, there LCM is their product i.e 9657462
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 1241,7782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1241,7782) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1241,7782) x common factors =1 x 1 = 1
LCM(1241,7782) = ( 1241 × 7782 ) / 1
LCM(1241,7782) = 9657462 / 1
LCM(1241,7782) = 9657462
Lets's calculate GCF of 331,391
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9657462/1
Therefore the LCM of Fractions 1241/331,7782/391 is 9657462
Factors of 331
List of positive integer factors of 331 that divides 331 without a remainder.
1,331
Factors of 391
List of positive integer factors of 391 that divides 391 without a remainder.
1,17,23,391
Greatest Common Factor
We found the factors 331,391 . The biggest common factor number is the GCF number.
So the greatest common factor 331,391 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 1241/331, 7782/391?
Answer: LCM of Numerators as per given numbers 1241/331, 7782/391 is
LCM of Numerators i.e. for 1241,7782 is 9657462
GCF of denominators i.e. for 331,391 is 1.
Thus, LCM of Fractions is 9657462.Finally, LCM of Fractions for 1241/331, 7782/391 is 9657462.