Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4954/269, 4518/1704 quickly i.e. 11191086 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4954/269, 4518/1704 is 11191086.
LCM(4954/269, 4518/1704) = 11191086
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4954/269,4518/1704
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 4954,4518
Least Common Multiple of Numerators i.e. LCM of 4954,4518 is 11191086.
GCF of Denominators means GCF of 269,1704 as per the given fractions.
GCF of 269,1704 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4954,4518
2 | 4954, 4518 |
2477, 2259 |
∴ So the LCM of the given numbers is 2 x 2477 x 2259 = 11191086
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 4954,4518 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4954,4518) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(4954,4518) x common factors =2 x 1 = 2
LCM(4954,4518) = ( 4954 × 4518 ) / 2
LCM(4954,4518) = 22382172 / 2
LCM(4954,4518) = 11191086
Lets's calculate GCF of 269,1704
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11191086/1
Therefore the LCM of Fractions 4954/269,4518/1704 is 11191086
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Factors of 1704
List of positive integer factors of 1704 that divides 1704 without a remainder.
1,2,3,4,6,8,12,24,71,142,213,284,426,568,852,1704
Greatest Common Factor
We found the factors 269,1704 . The biggest common factor number is the GCF number.
So the greatest common factor 269,1704 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 4954/269, 4518/1704?
Answer: LCM of Numerators as per given numbers 4954/269, 4518/1704 is
LCM of Numerators i.e. for 4954,4518 is 11191086
GCF of denominators i.e. for 269,1704 is 1.
Thus, LCM of Fractions is 11191086.Finally, LCM of Fractions for 4954/269, 4518/1704 is 11191086.