Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 696/54, 379/6815 quickly i.e. 263784 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 696/54, 379/6815 is 263784.
LCM(696/54, 379/6815) = 263784
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 696/54,379/6815
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 696,379
Least Common Multiple of Numerators i.e. LCM of 696,379 is 263784.
GCF of Denominators means GCF of 54,6815 as per the given fractions.
GCF of 54,6815 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 696,379
Given numbers has no common factors except 1. So, there LCM is their product i.e 263784
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 696,379 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(696,379) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(696,379) x common factors =1 x 1 = 1
LCM(696,379) = ( 696 × 379 ) / 1
LCM(696,379) = 263784 / 1
LCM(696,379) = 263784
Lets's calculate GCF of 54,6815
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 263784/1
Therefore the LCM of Fractions 696/54,379/6815 is 263784
Factors of 54
List of positive integer factors of 54 that divides 54 without a remainder.
1,2,3,6,9,18,27,54
Factors of 6815
List of positive integer factors of 6815 that divides 6815 without a remainder.
1,5,29,47,145,235,1363,6815
Greatest Common Factor
We found the factors 54,6815 . The biggest common factor number is the GCF number.
So the greatest common factor 54,6815 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 696/54, 379/6815?
Answer: LCM of Numerators as per given numbers 696/54, 379/6815 is
LCM of Numerators i.e. for 696,379 is 263784
GCF of denominators i.e. for 54,6815 is 1.
Thus, LCM of Fractions is 263784.Finally, LCM of Fractions for 696/54, 379/6815 is 263784.