Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3187/143, 9066/941 quickly i.e. 28893342 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3187/143, 9066/941 is 28893342.
LCM(3187/143, 9066/941) = 28893342
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3187/143,9066/941
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 3187,9066
Least Common Multiple of Numerators i.e. LCM of 3187,9066 is 28893342.
GCF of Denominators means GCF of 143,941 as per the given fractions.
GCF of 143,941 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3187,9066
Given numbers has no common factors except 1. So, there LCM is their product i.e 28893342
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 3187,9066 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3187,9066) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3187,9066) x common factors =1 x 1 = 1
LCM(3187,9066) = ( 3187 × 9066 ) / 1
LCM(3187,9066) = 28893342 / 1
LCM(3187,9066) = 28893342
Lets's calculate GCF of 143,941
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28893342/1
Therefore the LCM of Fractions 3187/143,9066/941 is 28893342
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Factors of 941
List of positive integer factors of 941 that divides 941 without a remainder.
1,941
Greatest Common Factor
We found the factors 143,941 . The biggest common factor number is the GCF number.
So the greatest common factor 143,941 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 3187/143, 9066/941?
Answer: LCM of Numerators as per given numbers 3187/143, 9066/941 is
LCM of Numerators i.e. for 3187,9066 is 28893342
GCF of denominators i.e. for 143,941 is 1.
Thus, LCM of Fractions is 28893342.Finally, LCM of Fractions for 3187/143, 9066/941 is 28893342.