Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 478/329, 7059/3238 quickly i.e. 3374202 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 478/329, 7059/3238 is 3374202.
LCM(478/329, 7059/3238) = 3374202
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 478/329,7059/3238
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 478,7059
Least Common Multiple of Numerators i.e. LCM of 478,7059 is 3374202.
GCF of Denominators means GCF of 329,3238 as per the given fractions.
GCF of 329,3238 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 478,7059
Given numbers has no common factors except 1. So, there LCM is their product i.e 3374202
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 478,7059 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(478,7059) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(478,7059) x common factors =1 x 1 = 1
LCM(478,7059) = ( 478 × 7059 ) / 1
LCM(478,7059) = 3374202 / 1
LCM(478,7059) = 3374202
Lets's calculate GCF of 329,3238
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3374202/1
Therefore the LCM of Fractions 478/329,7059/3238 is 3374202
Factors of 329
List of positive integer factors of 329 that divides 329 without a remainder.
1,7,47,329
Factors of 3238
List of positive integer factors of 3238 that divides 3238 without a remainder.
1,2,1619,3238
Greatest Common Factor
We found the factors 329,3238 . The biggest common factor number is the GCF number.
So the greatest common factor 329,3238 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 478/329, 7059/3238?
Answer: LCM of Numerators as per given numbers 478/329, 7059/3238 is
LCM of Numerators i.e. for 478,7059 is 3374202
GCF of denominators i.e. for 329,3238 is 1.
Thus, LCM of Fractions is 3374202.Finally, LCM of Fractions for 478/329, 7059/3238 is 3374202.