Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 521/53, 157/5578 quickly i.e. 81797 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 521/53, 157/5578 is 81797.
LCM(521/53, 157/5578) = 81797
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 521/53,157/5578
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 521,157
Least Common Multiple of Numerators i.e. LCM of 521,157 is 81797.
GCF of Denominators means GCF of 53,5578 as per the given fractions.
GCF of 53,5578 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 521,157
Given numbers has no common factors except 1. So, there LCM is their product i.e 81797
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 521,157 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(521,157) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(521,157) x common factors =1 x 1 = 1
LCM(521,157) = ( 521 × 157 ) / 1
LCM(521,157) = 81797 / 1
LCM(521,157) = 81797
Lets's calculate GCF of 53,5578
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 81797/1
Therefore the LCM of Fractions 521/53,157/5578 is 81797
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 5578
List of positive integer factors of 5578 that divides 5578 without a remainder.
1,2,2789,5578
Greatest Common Factor
We found the factors 53,5578 . The biggest common factor number is the GCF number.
So the greatest common factor 53,5578 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 521/53, 157/5578?
Answer: LCM of Numerators as per given numbers 521/53, 157/5578 is
LCM of Numerators i.e. for 521,157 is 81797
GCF of denominators i.e. for 53,5578 is 1.
Thus, LCM of Fractions is 81797.Finally, LCM of Fractions for 521/53, 157/5578 is 81797.