Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3185/579, 4663/7247 quickly i.e. 14851655 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3185/579, 4663/7247 is 14851655.
LCM(3185/579, 4663/7247) = 14851655
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3185/579,4663/7247
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 3185,4663
Least Common Multiple of Numerators i.e. LCM of 3185,4663 is 14851655.
GCF of Denominators means GCF of 579,7247 as per the given fractions.
GCF of 579,7247 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3185,4663
Given numbers has no common factors except 1. So, there LCM is their product i.e 14851655
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 3185,4663 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3185,4663) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3185,4663) x common factors =1 x 1 = 1
LCM(3185,4663) = ( 3185 × 4663 ) / 1
LCM(3185,4663) = 14851655 / 1
LCM(3185,4663) = 14851655
Lets's calculate GCF of 579,7247
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14851655/1
Therefore the LCM of Fractions 3185/579,4663/7247 is 14851655
Factors of 579
List of positive integer factors of 579 that divides 579 without a remainder.
1,3,193,579
Factors of 7247
List of positive integer factors of 7247 that divides 7247 without a remainder.
1,7247
Greatest Common Factor
We found the factors 579,7247 . The biggest common factor number is the GCF number.
So the greatest common factor 579,7247 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 3185/579, 4663/7247?
Answer: LCM of Numerators as per given numbers 3185/579, 4663/7247 is
LCM of Numerators i.e. for 3185,4663 is 14851655
GCF of denominators i.e. for 579,7247 is 1.
Thus, LCM of Fractions is 14851655.Finally, LCM of Fractions for 3185/579, 4663/7247 is 14851655.