Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/764, 2876/4719 quickly i.e. 238708 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/764, 2876/4719 is 238708.
LCM(83/764, 2876/4719) = 238708
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/764,2876/4719
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 83,2876
Least Common Multiple of Numerators i.e. LCM of 83,2876 is 238708.
GCF of Denominators means GCF of 764,4719 as per the given fractions.
GCF of 764,4719 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,2876
Given numbers has no common factors except 1. So, there LCM is their product i.e 238708
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 83,2876 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,2876) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,2876) x common factors =1 x 1 = 1
LCM(83,2876) = ( 83 × 2876 ) / 1
LCM(83,2876) = 238708 / 1
LCM(83,2876) = 238708
Lets's calculate GCF of 764,4719
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 238708/1
Therefore the LCM of Fractions 83/764,2876/4719 is 238708
Factors of 764
List of positive integer factors of 764 that divides 764 without a remainder.
1,2,4,191,382,764
Factors of 4719
List of positive integer factors of 4719 that divides 4719 without a remainder.
1,3,11,13,33,39,121,143,363,429,1573,4719
Greatest Common Factor
We found the factors 764,4719 . The biggest common factor number is the GCF number.
So the greatest common factor 764,4719 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 83/764, 2876/4719?
Answer: LCM of Numerators as per given numbers 83/764, 2876/4719 is
LCM of Numerators i.e. for 83,2876 is 238708
GCF of denominators i.e. for 764,4719 is 1.
Thus, LCM of Fractions is 238708.Finally, LCM of Fractions for 83/764, 2876/4719 is 238708.