Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 126/68, 797/33, 299/168 quickly i.e. 30026178 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 126/68, 797/33, 299/168 is 30026178.
LCM(126/68, 797/33, 299/168) = 30026178
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 126/68,797/33,299/168
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 126,797,299
Least Common Multiple of Numerators i.e. LCM of 126,797,299 is 30026178.
GCF of Denominators means GCF of 68,33,168 as per the given fractions.
GCF of 68,33,168 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 126,797,299
Given numbers has no common factors except 1. So, there LCM is their product i.e 30026178
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 126,797,299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,797,299) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(126,797,299) x common factors =1 x 1 = 1
LCM(126,797,299) = ( 126 × 797 × 299 ) / 1
LCM(126,797,299) = 30026178 / 1
LCM(126,797,299) = 30026178
Lets's calculate GCF of 68,33,168
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30026178/1
Therefore the LCM of Fractions 126/68,797/33,299/168 is 30026178
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 168
List of positive integer factors of 168 that divides 168 without a remainder.
1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168
Greatest Common Factor
We found the factors 68,33,168 . The biggest common factor number is the GCF number.
So the greatest common factor 68,33,168 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 126/68, 797/33, 299/168?
Answer: LCM of Numerators as per given numbers 126/68, 797/33, 299/168 is
LCM of Numerators i.e. for 126,797,299 is 30026178
GCF of denominators i.e. for 68,33,168 is 1.
Thus, LCM of Fractions is 30026178.Finally, LCM of Fractions for 126/68, 797/33, 299/168 is 30026178.