Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 105/83, 992/6312 quickly i.e. 104160 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 105/83, 992/6312 is 104160.
LCM(105/83, 992/6312) = 104160
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 105/83,992/6312
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 105,992
Least Common Multiple of Numerators i.e. LCM of 105,992 is 104160.
GCF of Denominators means GCF of 83,6312 as per the given fractions.
GCF of 83,6312 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 105,992
Given numbers has no common factors except 1. So, there LCM is their product i.e 104160
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 105,992 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(105,992) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(105,992) x common factors =1 x 1 = 1
LCM(105,992) = ( 105 × 992 ) / 1
LCM(105,992) = 104160 / 1
LCM(105,992) = 104160
Lets's calculate GCF of 83,6312
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104160/1
Therefore the LCM of Fractions 105/83,992/6312 is 104160
Factors of 83
List of positive integer factors of 83 that divides 83 without a remainder.
1,83
Factors of 6312
List of positive integer factors of 6312 that divides 6312 without a remainder.
1,2,3,4,6,8,12,24,263,526,789,1052,1578,2104,3156,6312
Greatest Common Factor
We found the factors 83,6312 . The biggest common factor number is the GCF number.
So the greatest common factor 83,6312 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 105/83, 992/6312?
Answer: LCM of Numerators as per given numbers 105/83, 992/6312 is
LCM of Numerators i.e. for 105,992 is 104160
GCF of denominators i.e. for 83,6312 is 1.
Thus, LCM of Fractions is 104160.Finally, LCM of Fractions for 105/83, 992/6312 is 104160.