Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3288/146, 9079/6938 quickly i.e. 14925876 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3288/146, 9079/6938 is 14925876.
LCM(3288/146, 9079/6938) = 14925876
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3288/146,9079/6938
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 3288,9079
Least Common Multiple of Numerators i.e. LCM of 3288,9079 is 29851752.
GCF of Denominators means GCF of 146,6938 as per the given fractions.
GCF of 146,6938 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3288,9079
Given numbers has no common factors except 1. So, there LCM is their product i.e 29851752
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 3288,9079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3288,9079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3288,9079) x common factors =1 x 1 = 1
LCM(3288,9079) = ( 3288 × 9079 ) / 1
LCM(3288,9079) = 29851752 / 1
LCM(3288,9079) = 29851752
Lets's calculate GCF of 146,6938
2 | 146, 6938 |
73, 3469 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29851752/2
Therefore the LCM of Fractions 3288/146,9079/6938 is 14925876
Factors of 146
List of positive integer factors of 146 that divides 146 without a remainder.
1,2,73,146
Factors of 6938
List of positive integer factors of 6938 that divides 6938 without a remainder.
1,2,3469,6938
Greatest Common Factor
We found the factors 146,6938 . The biggest common factor number is the GCF number.
So the greatest common factor 146,6938 is 2.
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 3288/146, 9079/6938?
Answer: LCM of Numerators as per given numbers 3288/146, 9079/6938 is
LCM of Numerators i.e. for 3288,9079 is 29851752
GCF of denominators i.e. for 146,6938 is 2.
Thus, LCM of Fractions is 14925876.Finally, LCM of Fractions for 3288/146, 9079/6938 is 14925876.