Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 756/396, 965/585, 867/847 quickly i.e. 210837060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 756/396, 965/585, 867/847 is 210837060.
LCM(756/396, 965/585, 867/847) = 210837060
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 756/396,965/585,867/847
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 756,965,867
Least Common Multiple of Numerators i.e. LCM of 756,965,867 is 210837060.
GCF of Denominators means GCF of 396,585,847 as per the given fractions.
GCF of 396,585,847 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 756,965,867
3 | 756, 965, 867 |
252, 965, 289 |
∴ So the LCM of the given numbers is 3 x 252 x 965 x 289 = 210837060
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 756,965,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,965,867) = 1
common factors(in case of two or more numbers have common factors) = 3
GCF(756,965,867) x common factors =1 x 3 = 3
LCM(756,965,867) = ( 756 × 965 × 867 ) / 3
LCM(756,965,867) = 632511180 / 3
LCM(756,965,867) = 210837060
Lets's calculate GCF of 396,585,847
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 210837060/1
Therefore the LCM of Fractions 756/396,965/585,867/847 is 210837060
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 585
List of positive integer factors of 585 that divides 585 without a remainder.
1,3,5,9,13,15,39,45,65,117,195,585
Factors of 847
List of positive integer factors of 847 that divides 847 without a remainder.
1,7,11,77,121,847
Greatest Common Factor
We found the factors 396,585,847 . The biggest common factor number is the GCF number.
So the greatest common factor 396,585,847 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 756/396, 965/585, 867/847?
Answer: LCM of Numerators as per given numbers 756/396, 965/585, 867/847 is
LCM of Numerators i.e. for 756,965,867 is 210837060
GCF of denominators i.e. for 396,585,847 is 1.
Thus, LCM of Fractions is 210837060.Finally, LCM of Fractions for 756/396, 965/585, 867/847 is 210837060.