Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9354/329, 8763/7896 quickly i.e. 27323034/329 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9354/329, 8763/7896 is 27323034/329.
LCM(9354/329, 8763/7896) = 27323034/329
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9354/329,8763/7896
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 9354,8763
Least Common Multiple of Numerators i.e. LCM of 9354,8763 is 27323034.
GCF of Denominators means GCF of 329,7896 as per the given fractions.
GCF of 329,7896 is 329 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9354,8763
3 | 9354, 8763 |
3118, 2921 |
∴ So the LCM of the given numbers is 3 x 3118 x 2921 = 27323034
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 9354,8763 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9354,8763) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(9354,8763) x common factors =3 x 1 = 3
LCM(9354,8763) = ( 9354 × 8763 ) / 3
LCM(9354,8763) = 81969102 / 3
LCM(9354,8763) = 27323034
Lets's calculate GCF of 329,7896
7 | 329, 7896 |
47 | 47, 1128 |
1, 24 |
∴ So the GCF of the given numbers is 7 x 47 = 329
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27323034/329
Therefore the LCM of Fractions 9354/329,8763/7896 is 27323034/329
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Factors of 7896
List of positive integer factors of 7896 that divides 7896 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,47,56,84,94,141,168,188,282,329,376,564,658,987,1128,1316,1974,2632,3948,7896
Greatest Common Factor
We found the factors 329,7896 . The biggest common factor number is the GCF number.
So the greatest common factor 329,7896 is 329.
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 9354/329, 8763/7896?
Answer: LCM of Numerators as per given numbers 9354/329, 8763/7896 is
LCM of Numerators i.e. for 9354,8763 is 27323034
GCF of denominators i.e. for 329,7896 is 329.
Thus, LCM of Fractions is 27323034/329.Finally, LCM of Fractions for 9354/329, 8763/7896 is 27323034/329.