Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/68, 923/60, 269/935 quickly i.e. 7200323 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/68, 923/60, 269/935 is 7200323.
LCM(29/68, 923/60, 269/935) = 7200323
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/68,923/60,269/935
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 29,923,269
Least Common Multiple of Numerators i.e. LCM of 29,923,269 is 7200323.
GCF of Denominators means GCF of 68,60,935 as per the given fractions.
GCF of 68,60,935 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,923,269
Given numbers has no common factors except 1. So, there LCM is their product i.e 7200323
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 29,923,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,923,269) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,923,269) x common factors =1 x 1 = 1
LCM(29,923,269) = ( 29 × 923 × 269 ) / 1
LCM(29,923,269) = 7200323 / 1
LCM(29,923,269) = 7200323
Lets's calculate GCF of 68,60,935
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7200323/1
Therefore the LCM of Fractions 29/68,923/60,269/935 is 7200323
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 60
List of positive integer factors of 60 that divides 60 without a remainder.
1,2,3,4,5,6,10,12,15,20,30,60
Factors of 935
List of positive integer factors of 935 that divides 935 without a remainder.
1,5,11,17,55,85,187,935
Greatest Common Factor
We found the factors 68,60,935 . The biggest common factor number is the GCF number.
So the greatest common factor 68,60,935 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 29/68, 923/60, 269/935?
Answer: LCM of Numerators as per given numbers 29/68, 923/60, 269/935 is
LCM of Numerators i.e. for 29,923,269 is 7200323
GCF of denominators i.e. for 68,60,935 is 1.
Thus, LCM of Fractions is 7200323.Finally, LCM of Fractions for 29/68, 923/60, 269/935 is 7200323.