Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/208, 6039/4592 quickly i.e. 175131/16 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/208, 6039/4592 is 175131/16.
LCM(29/208, 6039/4592) = 175131/16
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/208,6039/4592
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 29,6039
Least Common Multiple of Numerators i.e. LCM of 29,6039 is 175131.
GCF of Denominators means GCF of 208,4592 as per the given fractions.
GCF of 208,4592 is 16 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,6039
Given numbers has no common factors except 1. So, there LCM is their product i.e 175131
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 29,6039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,6039) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,6039) x common factors =1 x 1 = 1
LCM(29,6039) = ( 29 × 6039 ) / 1
LCM(29,6039) = 175131 / 1
LCM(29,6039) = 175131
Lets's calculate GCF of 208,4592
2 | 208, 4592 |
2 | 104, 2296 |
2 | 52, 1148 |
2 | 26, 574 |
13, 287 |
∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 175131/16
Therefore the LCM of Fractions 29/208,6039/4592 is 175131/16
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 4592
List of positive integer factors of 4592 that divides 4592 without a remainder.
1,2,4,7,8,14,16,28,41,56,82,112,164,287,328,574,656,1148,2296,4592
Greatest Common Factor
We found the factors 208,4592 . The biggest common factor number is the GCF number.
So the greatest common factor 208,4592 is 16.
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 29/208, 6039/4592?
Answer: LCM of Numerators as per given numbers 29/208, 6039/4592 is
LCM of Numerators i.e. for 29,6039 is 175131
GCF of denominators i.e. for 208,4592 is 16.
Thus, LCM of Fractions is 175131/16.Finally, LCM of Fractions for 29/208, 6039/4592 is 175131/16.