Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 4102/995, 2743/3179 quickly i.e. 11251786 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 4102/995, 2743/3179 is 11251786.
LCM(4102/995, 2743/3179) = 11251786
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 4102/995,2743/3179
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 4102,2743
Least Common Multiple of Numerators i.e. LCM of 4102,2743 is 11251786.
GCF of Denominators means GCF of 995,3179 as per the given fractions.
GCF of 995,3179 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 4102,2743
Given numbers has no common factors except 1. So, there LCM is their product i.e 11251786
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 4102,2743 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(4102,2743) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(4102,2743) x common factors =1 x 1 = 1
LCM(4102,2743) = ( 4102 × 2743 ) / 1
LCM(4102,2743) = 11251786 / 1
LCM(4102,2743) = 11251786
Lets's calculate GCF of 995,3179
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11251786/1
Therefore the LCM of Fractions 4102/995,2743/3179 is 11251786
Factors of 995
List of positive integer factors of 995 that divides 995 without a remainder.
1,5,199,995
Factors of 3179
List of positive integer factors of 3179 that divides 3179 without a remainder.
1,11,17,187,289,3179
Greatest Common Factor
We found the factors 995,3179 . The biggest common factor number is the GCF number.
So the greatest common factor 995,3179 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 4102/995, 2743/3179?
Answer: LCM of Numerators as per given numbers 4102/995, 2743/3179 is
LCM of Numerators i.e. for 4102,2743 is 11251786
GCF of denominators i.e. for 995,3179 is 1.
Thus, LCM of Fractions is 11251786.Finally, LCM of Fractions for 4102/995, 2743/3179 is 11251786.