Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 252/50, 149/4979 quickly i.e. 37548 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 252/50, 149/4979 is 37548.
LCM(252/50, 149/4979) = 37548
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 252/50,149/4979
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 252,149
Least Common Multiple of Numerators i.e. LCM of 252,149 is 37548.
GCF of Denominators means GCF of 50,4979 as per the given fractions.
GCF of 50,4979 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 252,149
Given numbers has no common factors except 1. So, there LCM is their product i.e 37548
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 252,149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(252,149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(252,149) x common factors =1 x 1 = 1
LCM(252,149) = ( 252 × 149 ) / 1
LCM(252,149) = 37548 / 1
LCM(252,149) = 37548
Lets's calculate GCF of 50,4979
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 37548/1
Therefore the LCM of Fractions 252/50,149/4979 is 37548
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 4979
List of positive integer factors of 4979 that divides 4979 without a remainder.
1,13,383,4979
Greatest Common Factor
We found the factors 50,4979 . The biggest common factor number is the GCF number.
So the greatest common factor 50,4979 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 252/50, 149/4979?
Answer: LCM of Numerators as per given numbers 252/50, 149/4979 is
LCM of Numerators i.e. for 252,149 is 37548
GCF of denominators i.e. for 50,4979 is 1.
Thus, LCM of Fractions is 37548.Finally, LCM of Fractions for 252/50, 149/4979 is 37548.