Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3603/446, 3098/7547 quickly i.e. 11162094 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3603/446, 3098/7547 is 11162094.
LCM(3603/446, 3098/7547) = 11162094
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3603/446,3098/7547
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 3603,3098
Least Common Multiple of Numerators i.e. LCM of 3603,3098 is 11162094.
GCF of Denominators means GCF of 446,7547 as per the given fractions.
GCF of 446,7547 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3603,3098
Given numbers has no common factors except 1. So, there LCM is their product i.e 11162094
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 3603,3098 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3603,3098) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3603,3098) x common factors =1 x 1 = 1
LCM(3603,3098) = ( 3603 × 3098 ) / 1
LCM(3603,3098) = 11162094 / 1
LCM(3603,3098) = 11162094
Lets's calculate GCF of 446,7547
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11162094/1
Therefore the LCM of Fractions 3603/446,3098/7547 is 11162094
Factors of 446
List of positive integer factors of 446 that divides 446 without a remainder.
1,2,223,446
Factors of 7547
List of positive integer factors of 7547 that divides 7547 without a remainder.
1,7547
Greatest Common Factor
We found the factors 446,7547 . The biggest common factor number is the GCF number.
So the greatest common factor 446,7547 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 3603/446, 3098/7547?
Answer: LCM of Numerators as per given numbers 3603/446, 3098/7547 is
LCM of Numerators i.e. for 3603,3098 is 11162094
GCF of denominators i.e. for 446,7547 is 1.
Thus, LCM of Fractions is 11162094.Finally, LCM of Fractions for 3603/446, 3098/7547 is 11162094.