Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/939, 3008/4916 quickly i.e. 87232 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/939, 3008/4916 is 87232.
LCM(29/939, 3008/4916) = 87232
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/939,3008/4916
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 29,3008
Least Common Multiple of Numerators i.e. LCM of 29,3008 is 87232.
GCF of Denominators means GCF of 939,4916 as per the given fractions.
GCF of 939,4916 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,3008
Given numbers has no common factors except 1. So, there LCM is their product i.e 87232
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 29,3008 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,3008) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,3008) x common factors =1 x 1 = 1
LCM(29,3008) = ( 29 × 3008 ) / 1
LCM(29,3008) = 87232 / 1
LCM(29,3008) = 87232
Lets's calculate GCF of 939,4916
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 87232/1
Therefore the LCM of Fractions 29/939,3008/4916 is 87232
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 4916
List of positive integer factors of 4916 that divides 4916 without a remainder.
1,2,4,1229,2458,4916
Greatest Common Factor
We found the factors 939,4916 . The biggest common factor number is the GCF number.
So the greatest common factor 939,4916 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 29/939, 3008/4916?
Answer: LCM of Numerators as per given numbers 29/939, 3008/4916 is
LCM of Numerators i.e. for 29,3008 is 87232
GCF of denominators i.e. for 939,4916 is 1.
Thus, LCM of Fractions is 87232.Finally, LCM of Fractions for 29/939, 3008/4916 is 87232.