Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6597/249, 4502/5708 quickly i.e. 29699694 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6597/249, 4502/5708 is 29699694.
LCM(6597/249, 4502/5708) = 29699694
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6597/249,4502/5708
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 6597,4502
Least Common Multiple of Numerators i.e. LCM of 6597,4502 is 29699694.
GCF of Denominators means GCF of 249,5708 as per the given fractions.
GCF of 249,5708 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6597,4502
Given numbers has no common factors except 1. So, there LCM is their product i.e 29699694
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 6597,4502 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6597,4502) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6597,4502) x common factors =1 x 1 = 1
LCM(6597,4502) = ( 6597 × 4502 ) / 1
LCM(6597,4502) = 29699694 / 1
LCM(6597,4502) = 29699694
Lets's calculate GCF of 249,5708
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29699694/1
Therefore the LCM of Fractions 6597/249,4502/5708 is 29699694
Factors of 249
List of positive integer factors of 249 that divides 249 without a remainder.
1,3,83,249
Factors of 5708
List of positive integer factors of 5708 that divides 5708 without a remainder.
1,2,4,1427,2854,5708
Greatest Common Factor
We found the factors 249,5708 . The biggest common factor number is the GCF number.
So the greatest common factor 249,5708 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 6597/249, 4502/5708?
Answer: LCM of Numerators as per given numbers 6597/249, 4502/5708 is
LCM of Numerators i.e. for 6597,4502 is 29699694
GCF of denominators i.e. for 249,5708 is 1.
Thus, LCM of Fractions is 29699694.Finally, LCM of Fractions for 6597/249, 4502/5708 is 29699694.