Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 38/656, 4868/1165 quickly i.e. 92492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 38/656, 4868/1165 is 92492.
LCM(38/656, 4868/1165) = 92492
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 38/656,4868/1165
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 38,4868
Least Common Multiple of Numerators i.e. LCM of 38,4868 is 92492.
GCF of Denominators means GCF of 656,1165 as per the given fractions.
GCF of 656,1165 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 38,4868
2 | 38, 4868 |
19, 2434 |
∴ So the LCM of the given numbers is 2 x 19 x 2434 = 92492
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 38,4868 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(38,4868) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(38,4868) x common factors =2 x 1 = 2
LCM(38,4868) = ( 38 × 4868 ) / 2
LCM(38,4868) = 184984 / 2
LCM(38,4868) = 92492
Lets's calculate GCF of 656,1165
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 92492/1
Therefore the LCM of Fractions 38/656,4868/1165 is 92492
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Factors of 1165
List of positive integer factors of 1165 that divides 1165 without a remainder.
1,5,233,1165
Greatest Common Factor
We found the factors 656,1165 . The biggest common factor number is the GCF number.
So the greatest common factor 656,1165 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 38/656, 4868/1165?
Answer: LCM of Numerators as per given numbers 38/656, 4868/1165 is
LCM of Numerators i.e. for 38,4868 is 92492
GCF of denominators i.e. for 656,1165 is 1.
Thus, LCM of Fractions is 92492.Finally, LCM of Fractions for 38/656, 4868/1165 is 92492.