Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 934/4, 31/82 quickly i.e. 14477 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 934/4, 31/82 is 14477.
LCM(934/4, 31/82) = 14477
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 934/4,31/82
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 934,31
Least Common Multiple of Numerators i.e. LCM of 934,31 is 28954.
GCF of Denominators means GCF of 4,82 as per the given fractions.
GCF of 4,82 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 934,31
Given numbers has no common factors except 1. So, there LCM is their product i.e 28954
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 934,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(934,31) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(934,31) x common factors =1 x 1 = 1
LCM(934,31) = ( 934 × 31 ) / 1
LCM(934,31) = 28954 / 1
LCM(934,31) = 28954
Lets's calculate GCF of 4,82
2 | 4, 82 |
2, 41 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28954/2
Therefore the LCM of Fractions 934/4,31/82 is 14477
Factors of 4
List of positive integer factors of 4 that divides 4 without a remainder.
1,2,4
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Greatest Common Factor
We found the factors 4,82 . The biggest common factor number is the GCF number.
So the greatest common factor 4,82 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 934/4, 31/82?
Answer: LCM of Numerators as per given numbers 934/4, 31/82 is
LCM of Numerators i.e. for 934,31 is 28954
GCF of denominators i.e. for 4,82 is 2.
Thus, LCM of Fractions is 14477.Finally, LCM of Fractions for 934/4, 31/82 is 14477.