Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 794/82, 968/4355 quickly i.e. 384296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 794/82, 968/4355 is 384296.
LCM(794/82, 968/4355) = 384296
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 794/82,968/4355
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 794,968
Least Common Multiple of Numerators i.e. LCM of 794,968 is 384296.
GCF of Denominators means GCF of 82,4355 as per the given fractions.
GCF of 82,4355 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 794,968
2 | 794, 968 |
397, 484 |
∴ So the LCM of the given numbers is 2 x 397 x 484 = 384296
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 794,968 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(794,968) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(794,968) x common factors =2 x 1 = 2
LCM(794,968) = ( 794 × 968 ) / 2
LCM(794,968) = 768592 / 2
LCM(794,968) = 384296
Lets's calculate GCF of 82,4355
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 384296/1
Therefore the LCM of Fractions 794/82,968/4355 is 384296
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 4355
List of positive integer factors of 4355 that divides 4355 without a remainder.
1,5,13,65,67,335,871,4355
Greatest Common Factor
We found the factors 82,4355 . The biggest common factor number is the GCF number.
So the greatest common factor 82,4355 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 794/82, 968/4355?
Answer: LCM of Numerators as per given numbers 794/82, 968/4355 is
LCM of Numerators i.e. for 794,968 is 384296
GCF of denominators i.e. for 82,4355 is 1.
Thus, LCM of Fractions is 384296.Finally, LCM of Fractions for 794/82, 968/4355 is 384296.