Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 472/208, 7149/8133 quickly i.e. 3374328 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 472/208, 7149/8133 is 3374328.
LCM(472/208, 7149/8133) = 3374328
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 472/208,7149/8133
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 472,7149
Least Common Multiple of Numerators i.e. LCM of 472,7149 is 3374328.
GCF of Denominators means GCF of 208,8133 as per the given fractions.
GCF of 208,8133 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 472,7149
Given numbers has no common factors except 1. So, there LCM is their product i.e 3374328
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 472,7149 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(472,7149) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(472,7149) x common factors =1 x 1 = 1
LCM(472,7149) = ( 472 × 7149 ) / 1
LCM(472,7149) = 3374328 / 1
LCM(472,7149) = 3374328
Lets's calculate GCF of 208,8133
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3374328/1
Therefore the LCM of Fractions 472/208,7149/8133 is 3374328
Factors of 208
List of positive integer factors of 208 that divides 208 without a remainder.
1,2,4,8,13,16,26,52,104,208
Factors of 8133
List of positive integer factors of 8133 that divides 8133 without a remainder.
1,3,2711,8133
Greatest Common Factor
We found the factors 208,8133 . The biggest common factor number is the GCF number.
So the greatest common factor 208,8133 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 472/208, 7149/8133?
Answer: LCM of Numerators as per given numbers 472/208, 7149/8133 is
LCM of Numerators i.e. for 472,7149 is 3374328
GCF of denominators i.e. for 208,8133 is 1.
Thus, LCM of Fractions is 3374328.Finally, LCM of Fractions for 472/208, 7149/8133 is 3374328.