Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 21/939, 3943/1118 quickly i.e. 82803 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 21/939, 3943/1118 is 82803.
LCM(21/939, 3943/1118) = 82803
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 21/939,3943/1118
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 21,3943
Least Common Multiple of Numerators i.e. LCM of 21,3943 is 82803.
GCF of Denominators means GCF of 939,1118 as per the given fractions.
GCF of 939,1118 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 21,3943
Given numbers has no common factors except 1. So, there LCM is their product i.e 82803
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 21,3943 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(21,3943) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(21,3943) x common factors =1 x 1 = 1
LCM(21,3943) = ( 21 × 3943 ) / 1
LCM(21,3943) = 82803 / 1
LCM(21,3943) = 82803
Lets's calculate GCF of 939,1118
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 82803/1
Therefore the LCM of Fractions 21/939,3943/1118 is 82803
Factors of 939
List of positive integer factors of 939 that divides 939 without a remainder.
1,3,313,939
Factors of 1118
List of positive integer factors of 1118 that divides 1118 without a remainder.
1,2,13,26,43,86,559,1118
Greatest Common Factor
We found the factors 939,1118 . The biggest common factor number is the GCF number.
So the greatest common factor 939,1118 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 21/939, 3943/1118?
Answer: LCM of Numerators as per given numbers 21/939, 3943/1118 is
LCM of Numerators i.e. for 21,3943 is 82803
GCF of denominators i.e. for 939,1118 is 1.
Thus, LCM of Fractions is 82803.Finally, LCM of Fractions for 21/939, 3943/1118 is 82803.