Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3703/459, 6948/7298 quickly i.e. 25728444 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3703/459, 6948/7298 is 25728444.
LCM(3703/459, 6948/7298) = 25728444
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3703/459,6948/7298
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 3703,6948
Least Common Multiple of Numerators i.e. LCM of 3703,6948 is 25728444.
GCF of Denominators means GCF of 459,7298 as per the given fractions.
GCF of 459,7298 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3703,6948
Given numbers has no common factors except 1. So, there LCM is their product i.e 25728444
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 3703,6948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3703,6948) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3703,6948) x common factors =1 x 1 = 1
LCM(3703,6948) = ( 3703 × 6948 ) / 1
LCM(3703,6948) = 25728444 / 1
LCM(3703,6948) = 25728444
Lets's calculate GCF of 459,7298
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25728444/1
Therefore the LCM of Fractions 3703/459,6948/7298 is 25728444
Factors of 459
List of positive integer factors of 459 that divides 459 without a remainder.
1,3,9,17,27,51,153,459
Factors of 7298
List of positive integer factors of 7298 that divides 7298 without a remainder.
1,2,41,82,89,178,3649,7298
Greatest Common Factor
We found the factors 459,7298 . The biggest common factor number is the GCF number.
So the greatest common factor 459,7298 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 3703/459, 6948/7298?
Answer: LCM of Numerators as per given numbers 3703/459, 6948/7298 is
LCM of Numerators i.e. for 3703,6948 is 25728444
GCF of denominators i.e. for 459,7298 is 1.
Thus, LCM of Fractions is 25728444.Finally, LCM of Fractions for 3703/459, 6948/7298 is 25728444.