Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 14/794, 433/872, 709/983 quickly i.e. 4297958 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 14/794, 433/872, 709/983 is 4297958.
LCM(14/794, 433/872, 709/983) = 4297958
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 14/794,433/872,709/983
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 14,433,709
Least Common Multiple of Numerators i.e. LCM of 14,433,709 is 4297958.
GCF of Denominators means GCF of 794,872,983 as per the given fractions.
GCF of 794,872,983 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 14,433,709
Given numbers has no common factors except 1. So, there LCM is their product i.e 4297958
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 14,433,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(14,433,709) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(14,433,709) x common factors =1 x 1 = 1
LCM(14,433,709) = ( 14 × 433 × 709 ) / 1
LCM(14,433,709) = 4297958 / 1
LCM(14,433,709) = 4297958
Lets's calculate GCF of 794,872,983
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4297958/1
Therefore the LCM of Fractions 14/794,433/872,709/983 is 4297958
Factors of 794
List of positive integer factors of 794 that divides 794 without a remainder.
1,2,397,794
Factors of 872
List of positive integer factors of 872 that divides 872 without a remainder.
1,2,4,8,109,218,436,872
Factors of 983
List of positive integer factors of 983 that divides 983 without a remainder.
1,983
Greatest Common Factor
We found the factors 794,872,983 . The biggest common factor number is the GCF number.
So the greatest common factor 794,872,983 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 14/794, 433/872, 709/983?
Answer: LCM of Numerators as per given numbers 14/794, 433/872, 709/983 is
LCM of Numerators i.e. for 14,433,709 is 4297958
GCF of denominators i.e. for 794,872,983 is 1.
Thus, LCM of Fractions is 4297958.Finally, LCM of Fractions for 14/794, 433/872, 709/983 is 4297958.