Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 929/329, 7742/3861 quickly i.e. 7192318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 929/329, 7742/3861 is 7192318.
LCM(929/329, 7742/3861) = 7192318
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 929/329,7742/3861
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 929,7742
Least Common Multiple of Numerators i.e. LCM of 929,7742 is 7192318.
GCF of Denominators means GCF of 329,3861 as per the given fractions.
GCF of 329,3861 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 929,7742
Given numbers has no common factors except 1. So, there LCM is their product i.e 7192318
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 929,7742 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,7742) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(929,7742) x common factors =1 x 1 = 1
LCM(929,7742) = ( 929 × 7742 ) / 1
LCM(929,7742) = 7192318 / 1
LCM(929,7742) = 7192318
Lets's calculate GCF of 329,3861
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7192318/1
Therefore the LCM of Fractions 929/329,7742/3861 is 7192318
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Factors of 3861
List of positive integer factors of 3861 that divides 3861 without a remainder.
1,3,9,11,13,27,33,39,99,117,143,297,351,429,1287,3861
Greatest Common Factor
We found the factors 329,3861 . The biggest common factor number is the GCF number.
So the greatest common factor 329,3861 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 929/329, 7742/3861?
Answer: LCM of Numerators as per given numbers 929/329, 7742/3861 is
LCM of Numerators i.e. for 929,7742 is 7192318
GCF of denominators i.e. for 329,3861 is 1.
Thus, LCM of Fractions is 7192318.Finally, LCM of Fractions for 929/329, 7742/3861 is 7192318.