Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2881/349, 5424/124 quickly i.e. 15626544 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2881/349, 5424/124 is 15626544.
LCM(2881/349, 5424/124) = 15626544
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2881/349,5424/124
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 2881,5424
Least Common Multiple of Numerators i.e. LCM of 2881,5424 is 15626544.
GCF of Denominators means GCF of 349,124 as per the given fractions.
GCF of 349,124 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2881,5424
Given numbers has no common factors except 1. So, there LCM is their product i.e 15626544
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 2881,5424 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2881,5424) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2881,5424) x common factors =1 x 1 = 1
LCM(2881,5424) = ( 2881 × 5424 ) / 1
LCM(2881,5424) = 15626544 / 1
LCM(2881,5424) = 15626544
Lets's calculate GCF of 349,124
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15626544/1
Therefore the LCM of Fractions 2881/349,5424/124 is 15626544
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Greatest Common Factor
We found the factors 349,124 . The biggest common factor number is the GCF number.
So the greatest common factor 349,124 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 2881/349, 5424/124?
Answer: LCM of Numerators as per given numbers 2881/349, 5424/124 is
LCM of Numerators i.e. for 2881,5424 is 15626544
GCF of denominators i.e. for 349,124 is 1.
Thus, LCM of Fractions is 15626544.Finally, LCM of Fractions for 2881/349, 5424/124 is 15626544.