Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3135/756, 3013/8911 quickly i.e. 9445755/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3135/756, 3013/8911 is 9445755/7.
LCM(3135/756, 3013/8911) = 9445755/7
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3135/756,3013/8911
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 3135,3013
Least Common Multiple of Numerators i.e. LCM of 3135,3013 is 9445755.
GCF of Denominators means GCF of 756,8911 as per the given fractions.
GCF of 756,8911 is 7 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3135,3013
Given numbers has no common factors except 1. So, there LCM is their product i.e 9445755
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 3135,3013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3135,3013) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3135,3013) x common factors =1 x 1 = 1
LCM(3135,3013) = ( 3135 × 3013 ) / 1
LCM(3135,3013) = 9445755 / 1
LCM(3135,3013) = 9445755
Lets's calculate GCF of 756,8911
7 | 756, 8911 |
108, 1273 |
∴ So the GCF of the given numbers is 7 = 7
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9445755/7
Therefore the LCM of Fractions 3135/756,3013/8911 is 9445755/7
Factors of 756
List of positive integer factors of 756 that divides 756 without a remainder.
1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756
Factors of 8911
List of positive integer factors of 8911 that divides 8911 without a remainder.
1,7,19,67,133,469,1273,8911
Greatest Common Factor
We found the factors 756,8911 . The biggest common factor number is the GCF number.
So the greatest common factor 756,8911 is 7.
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 3135/756, 3013/8911?
Answer: LCM of Numerators as per given numbers 3135/756, 3013/8911 is
LCM of Numerators i.e. for 3135,3013 is 9445755
GCF of denominators i.e. for 756,8911 is 7.
Thus, LCM of Fractions is 9445755/7.Finally, LCM of Fractions for 3135/756, 3013/8911 is 9445755/7.