Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 96/30, 97/69, 43/88, 29/296 quickly i.e. 11612064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 96/30, 97/69, 43/88, 29/296 is 11612064.
LCM(96/30, 97/69, 43/88, 29/296) = 11612064
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 96/30,97/69,43/88,29/296
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 96,97,43,29
Least Common Multiple of Numerators i.e. LCM of 96,97,43,29 is 11612064.
GCF of Denominators means GCF of 30,69,88,296 as per the given fractions.
GCF of 30,69,88,296 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 96,97,43,29
Given numbers has no common factors except 1. So, there LCM is their product i.e 11612064
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 96,97,43,29 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(96,97,43,29) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(96,97,43,29) x common factors =1 x 1 = 1
LCM(96,97,43,29) = ( 96 × 97 × 43 × 29 ) / 1
LCM(96,97,43,29) = 11612064 / 1
LCM(96,97,43,29) = 11612064
Lets's calculate GCF of 30,69,88,296
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11612064/1
Therefore the LCM of Fractions 96/30,97/69,43/88,29/296 is 11612064
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 69
List of positive integer factors of 69 that divides 69 without a remainder.
1,3,23,69
Factors of 88
List of positive integer factors of 88 that divides 88 without a remainder.
1,2,4,8,11,22,44,88
Factors of 296
List of positive integer factors of 296 that divides 296 without a remainder.
1,2,4,8,37,74,148,296
Greatest Common Factor
We found the factors 30,69,88,296 . The biggest common factor number is the GCF number.
So the greatest common factor 30,69,88,296 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 96/30, 97/69, 43/88, 29/296?
Answer: LCM of Numerators as per given numbers 96/30, 97/69, 43/88, 29/296 is
LCM of Numerators i.e. for 96,97,43,29 is 11612064
GCF of denominators i.e. for 30,69,88,296 is 1.
Thus, LCM of Fractions is 11612064.Finally, LCM of Fractions for 96/30, 97/69, 43/88, 29/296 is 11612064.