Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3811/167, 3243/282 quickly i.e. 12359073 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3811/167, 3243/282 is 12359073.
LCM(3811/167, 3243/282) = 12359073
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3811/167,3243/282
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 3811,3243
Least Common Multiple of Numerators i.e. LCM of 3811,3243 is 12359073.
GCF of Denominators means GCF of 167,282 as per the given fractions.
GCF of 167,282 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3811,3243
Given numbers has no common factors except 1. So, there LCM is their product i.e 12359073
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 3811,3243 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3811,3243) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3811,3243) x common factors =1 x 1 = 1
LCM(3811,3243) = ( 3811 × 3243 ) / 1
LCM(3811,3243) = 12359073 / 1
LCM(3811,3243) = 12359073
Lets's calculate GCF of 167,282
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 12359073/1
Therefore the LCM of Fractions 3811/167,3243/282 is 12359073
Factors of 167
List of positive integer factors of 167 that divides 167 without a remainder.
1,167
Factors of 282
List of positive integer factors of 282 that divides 282 without a remainder.
1,2,3,6,47,94,141,282
Greatest Common Factor
We found the factors 167,282 . The biggest common factor number is the GCF number.
So the greatest common factor 167,282 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 3811/167, 3243/282?
Answer: LCM of Numerators as per given numbers 3811/167, 3243/282 is
LCM of Numerators i.e. for 3811,3243 is 12359073
GCF of denominators i.e. for 167,282 is 1.
Thus, LCM of Fractions is 12359073.Finally, LCM of Fractions for 3811/167, 3243/282 is 12359073.