Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1068/812, 8375/2391 quickly i.e. 8944500 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1068/812, 8375/2391 is 8944500.
LCM(1068/812, 8375/2391) = 8944500
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1068/812,8375/2391
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 1068,8375
Least Common Multiple of Numerators i.e. LCM of 1068,8375 is 8944500.
GCF of Denominators means GCF of 812,2391 as per the given fractions.
GCF of 812,2391 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1068,8375
Given numbers has no common factors except 1. So, there LCM is their product i.e 8944500
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 1068,8375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1068,8375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1068,8375) x common factors =1 x 1 = 1
LCM(1068,8375) = ( 1068 × 8375 ) / 1
LCM(1068,8375) = 8944500 / 1
LCM(1068,8375) = 8944500
Lets's calculate GCF of 812,2391
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8944500/1
Therefore the LCM of Fractions 1068/812,8375/2391 is 8944500
Factors of 812
List of positive integer factors of 812 that divides 812 without a remainder.
1,2,4,7,14,28,29,58,116,203,406,812
Factors of 2391
List of positive integer factors of 2391 that divides 2391 without a remainder.
1,3,797,2391
Greatest Common Factor
We found the factors 812,2391 . The biggest common factor number is the GCF number.
So the greatest common factor 812,2391 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 1068/812, 8375/2391?
Answer: LCM of Numerators as per given numbers 1068/812, 8375/2391 is
LCM of Numerators i.e. for 1068,8375 is 8944500
GCF of denominators i.e. for 812,2391 is 1.
Thus, LCM of Fractions is 8944500.Finally, LCM of Fractions for 1068/812, 8375/2391 is 8944500.