Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 764/14, 696/5833 quickly i.e. 132936 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 764/14, 696/5833 is 132936.
LCM(764/14, 696/5833) = 132936
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 764/14,696/5833
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 764,696
Least Common Multiple of Numerators i.e. LCM of 764,696 is 132936.
GCF of Denominators means GCF of 14,5833 as per the given fractions.
GCF of 14,5833 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 764,696
2 | 764, 696 |
2 | 382, 348 |
191, 174 |
∴ So the LCM of the given numbers is 2 x 2 x 191 x 174 = 132936
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 764,696 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,696) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(764,696) x common factors =4 x 1 = 4
LCM(764,696) = ( 764 × 696 ) / 4
LCM(764,696) = 531744 / 4
LCM(764,696) = 132936
Lets's calculate GCF of 14,5833
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 132936/1
Therefore the LCM of Fractions 764/14,696/5833 is 132936
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 5833
List of positive integer factors of 5833 that divides 5833 without a remainder.
1,19,307,5833
Greatest Common Factor
We found the factors 14,5833 . The biggest common factor number is the GCF number.
So the greatest common factor 14,5833 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 764/14, 696/5833?
Answer: LCM of Numerators as per given numbers 764/14, 696/5833 is
LCM of Numerators i.e. for 764,696 is 132936
GCF of denominators i.e. for 14,5833 is 1.
Thus, LCM of Fractions is 132936.Finally, LCM of Fractions for 764/14, 696/5833 is 132936.