Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3967/498, 9236/4751 quickly i.e. 36639212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3967/498, 9236/4751 is 36639212.
LCM(3967/498, 9236/4751) = 36639212
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3967/498,9236/4751
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 3967,9236
Least Common Multiple of Numerators i.e. LCM of 3967,9236 is 36639212.
GCF of Denominators means GCF of 498,4751 as per the given fractions.
GCF of 498,4751 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3967,9236
Given numbers has no common factors except 1. So, there LCM is their product i.e 36639212
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 3967,9236 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3967,9236) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3967,9236) x common factors =1 x 1 = 1
LCM(3967,9236) = ( 3967 × 9236 ) / 1
LCM(3967,9236) = 36639212 / 1
LCM(3967,9236) = 36639212
Lets's calculate GCF of 498,4751
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36639212/1
Therefore the LCM of Fractions 3967/498,9236/4751 is 36639212
Factors of 498
List of positive integer factors of 498 that divides 498 without a remainder.
1,2,3,6,83,166,249,498
Factors of 4751
List of positive integer factors of 4751 that divides 4751 without a remainder.
1,4751
Greatest Common Factor
We found the factors 498,4751 . The biggest common factor number is the GCF number.
So the greatest common factor 498,4751 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 3967/498, 9236/4751?
Answer: LCM of Numerators as per given numbers 3967/498, 9236/4751 is
LCM of Numerators i.e. for 3967,9236 is 36639212
GCF of denominators i.e. for 498,4751 is 1.
Thus, LCM of Fractions is 36639212.Finally, LCM of Fractions for 3967/498, 9236/4751 is 36639212.