Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4937/317, 3842/8492 quickly i.e. 18967954 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4937/317, 3842/8492 is 18967954.
LCM(4937/317, 3842/8492) = 18967954
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4937/317,3842/8492
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 4937,3842
Least Common Multiple of Numerators i.e. LCM of 4937,3842 is 18967954.
GCF of Denominators means GCF of 317,8492 as per the given fractions.
GCF of 317,8492 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4937,3842
Given numbers has no common factors except 1. So, there LCM is their product i.e 18967954
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 4937,3842 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4937,3842) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4937,3842) x common factors =1 x 1 = 1
LCM(4937,3842) = ( 4937 × 3842 ) / 1
LCM(4937,3842) = 18967954 / 1
LCM(4937,3842) = 18967954
Lets's calculate GCF of 317,8492
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18967954/1
Therefore the LCM of Fractions 4937/317,3842/8492 is 18967954
Factors of 317
List of positive integer factors of 317 that divides 317 without a remainder.
1,317
Factors of 8492
List of positive integer factors of 8492 that divides 8492 without a remainder.
1,2,4,11,22,44,193,386,772,2123,4246,8492
Greatest Common Factor
We found the factors 317,8492 . The biggest common factor number is the GCF number.
So the greatest common factor 317,8492 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 4937/317, 3842/8492?
Answer: LCM of Numerators as per given numbers 4937/317, 3842/8492 is
LCM of Numerators i.e. for 4937,3842 is 18967954
GCF of denominators i.e. for 317,8492 is 1.
Thus, LCM of Fractions is 18967954.Finally, LCM of Fractions for 4937/317, 3842/8492 is 18967954.