Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 75/48, 17/53, 23/269 quickly i.e. 29325 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 75/48, 17/53, 23/269 is 29325.
LCM(75/48, 17/53, 23/269) = 29325
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 75/48,17/53,23/269
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 75,17,23
Least Common Multiple of Numerators i.e. LCM of 75,17,23 is 29325.
GCF of Denominators means GCF of 48,53,269 as per the given fractions.
GCF of 48,53,269 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 75,17,23
Given numbers has no common factors except 1. So, there LCM is their product i.e 29325
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 75,17,23 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(75,17,23) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(75,17,23) x common factors =1 x 1 = 1
LCM(75,17,23) = ( 75 × 17 × 23 ) / 1
LCM(75,17,23) = 29325 / 1
LCM(75,17,23) = 29325
Lets's calculate GCF of 48,53,269
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29325/1
Therefore the LCM of Fractions 75/48,17/53,23/269 is 29325
Factors of 48
List of positive integer factors of 48 that divides 48 without a remainder.
1,2,3,4,6,8,12,16,24,48
Factors of 53
List of positive integer factors of 53 that divides 53 without a remainder.
1,53
Factors of 269
List of positive integer factors of 269 that divides 269 without a remainder.
1,269
Greatest Common Factor
We found the factors 48,53,269 . The biggest common factor number is the GCF number.
So the greatest common factor 48,53,269 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 75/48, 17/53, 23/269?
Answer: LCM of Numerators as per given numbers 75/48, 17/53, 23/269 is
LCM of Numerators i.e. for 75,17,23 is 29325
GCF of denominators i.e. for 48,53,269 is 1.
Thus, LCM of Fractions is 29325.Finally, LCM of Fractions for 75/48, 17/53, 23/269 is 29325.