Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 5057/922, 8024/327 quickly i.e. 40577368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 5057/922, 8024/327 is 40577368.
LCM(5057/922, 8024/327) = 40577368
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 5057/922,8024/327
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 5057,8024
Least Common Multiple of Numerators i.e. LCM of 5057,8024 is 40577368.
GCF of Denominators means GCF of 922,327 as per the given fractions.
GCF of 922,327 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 5057,8024
Given numbers has no common factors except 1. So, there LCM is their product i.e 40577368
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 5057,8024 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(5057,8024) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(5057,8024) x common factors =1 x 1 = 1
LCM(5057,8024) = ( 5057 × 8024 ) / 1
LCM(5057,8024) = 40577368 / 1
LCM(5057,8024) = 40577368
Lets's calculate GCF of 922,327
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 40577368/1
Therefore the LCM of Fractions 5057/922,8024/327 is 40577368
Factors of 922
List of positive integer factors of 922 that divides 922 without a remainder.
1,2,461,922
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Greatest Common Factor
We found the factors 922,327 . The biggest common factor number is the GCF number.
So the greatest common factor 922,327 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 5057/922, 8024/327?
Answer: LCM of Numerators as per given numbers 5057/922, 8024/327 is
LCM of Numerators i.e. for 5057,8024 is 40577368
GCF of denominators i.e. for 922,327 is 1.
Thus, LCM of Fractions is 40577368.Finally, LCM of Fractions for 5057/922, 8024/327 is 40577368.