Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1511/885, 2976/3079 quickly i.e. 4496736 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1511/885, 2976/3079 is 4496736.
LCM(1511/885, 2976/3079) = 4496736
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1511/885,2976/3079
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 1511,2976
Least Common Multiple of Numerators i.e. LCM of 1511,2976 is 4496736.
GCF of Denominators means GCF of 885,3079 as per the given fractions.
GCF of 885,3079 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1511,2976
Given numbers has no common factors except 1. So, there LCM is their product i.e 4496736
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 1511,2976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1511,2976) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1511,2976) x common factors =1 x 1 = 1
LCM(1511,2976) = ( 1511 × 2976 ) / 1
LCM(1511,2976) = 4496736 / 1
LCM(1511,2976) = 4496736
Lets's calculate GCF of 885,3079
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4496736/1
Therefore the LCM of Fractions 1511/885,2976/3079 is 4496736
Factors of 885
List of positive integer factors of 885 that divides 885 without a remainder.
1,3,5,15,59,177,295,885
Factors of 3079
List of positive integer factors of 3079 that divides 3079 without a remainder.
1,3079
Greatest Common Factor
We found the factors 885,3079 . The biggest common factor number is the GCF number.
So the greatest common factor 885,3079 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 1511/885, 2976/3079?
Answer: LCM of Numerators as per given numbers 1511/885, 2976/3079 is
LCM of Numerators i.e. for 1511,2976 is 4496736
GCF of denominators i.e. for 885,3079 is 1.
Thus, LCM of Fractions is 4496736.Finally, LCM of Fractions for 1511/885, 2976/3079 is 4496736.