Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2729/124, 1732/349 quickly i.e. 4726628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2729/124, 1732/349 is 4726628.
LCM(2729/124, 1732/349) = 4726628
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2729/124,1732/349
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 2729,1732
Least Common Multiple of Numerators i.e. LCM of 2729,1732 is 4726628.
GCF of Denominators means GCF of 124,349 as per the given fractions.
GCF of 124,349 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2729,1732
Given numbers has no common factors except 1. So, there LCM is their product i.e 4726628
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 2729,1732 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2729,1732) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2729,1732) x common factors =1 x 1 = 1
LCM(2729,1732) = ( 2729 × 1732 ) / 1
LCM(2729,1732) = 4726628 / 1
LCM(2729,1732) = 4726628
Lets's calculate GCF of 124,349
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4726628/1
Therefore the LCM of Fractions 2729/124,1732/349 is 4726628
Factors of 124
List of positive integer factors of 124 that divides 124 without a remainder.
1,2,4,31,62,124
Factors of 349
List of positive integer factors of 349 that divides 349 without a remainder.
1,349
Greatest Common Factor
We found the factors 124,349 . The biggest common factor number is the GCF number.
So the greatest common factor 124,349 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 2729/124, 1732/349?
Answer: LCM of Numerators as per given numbers 2729/124, 1732/349 is
LCM of Numerators i.e. for 2729,1732 is 4726628
GCF of denominators i.e. for 124,349 is 1.
Thus, LCM of Fractions is 4726628.Finally, LCM of Fractions for 2729/124, 1732/349 is 4726628.