Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4263/966, 3958/2427 quickly i.e. 5624318 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4263/966, 3958/2427 is 5624318.
LCM(4263/966, 3958/2427) = 5624318
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4263/966,3958/2427
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 4263,3958
Least Common Multiple of Numerators i.e. LCM of 4263,3958 is 16872954.
GCF of Denominators means GCF of 966,2427 as per the given fractions.
GCF of 966,2427 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4263,3958
Given numbers has no common factors except 1. So, there LCM is their product i.e 16872954
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 4263,3958 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4263,3958) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4263,3958) x common factors =1 x 1 = 1
LCM(4263,3958) = ( 4263 × 3958 ) / 1
LCM(4263,3958) = 16872954 / 1
LCM(4263,3958) = 16872954
Lets's calculate GCF of 966,2427
3 | 966, 2427 |
322, 809 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16872954/3
Therefore the LCM of Fractions 4263/966,3958/2427 is 5624318
Factors of 966
List of positive integer factors of 966 that divides 966 without a remainder.
1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966
Factors of 2427
List of positive integer factors of 2427 that divides 2427 without a remainder.
1,3,809,2427
Greatest Common Factor
We found the factors 966,2427 . The biggest common factor number is the GCF number.
So the greatest common factor 966,2427 is 3.
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 4263/966, 3958/2427?
Answer: LCM of Numerators as per given numbers 4263/966, 3958/2427 is
LCM of Numerators i.e. for 4263,3958 is 16872954
GCF of denominators i.e. for 966,2427 is 3.
Thus, LCM of Fractions is 5624318.Finally, LCM of Fractions for 4263/966, 3958/2427 is 5624318.