Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 6287/660, 8911/133 quickly i.e. 56023457 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 6287/660, 8911/133 is 56023457.
LCM(6287/660, 8911/133) = 56023457
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 6287/660,8911/133
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 6287,8911
Least Common Multiple of Numerators i.e. LCM of 6287,8911 is 56023457.
GCF of Denominators means GCF of 660,133 as per the given fractions.
GCF of 660,133 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 6287,8911
Given numbers has no common factors except 1. So, there LCM is their product i.e 56023457
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 6287,8911 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(6287,8911) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(6287,8911) x common factors =1 x 1 = 1
LCM(6287,8911) = ( 6287 × 8911 ) / 1
LCM(6287,8911) = 56023457 / 1
LCM(6287,8911) = 56023457
Lets's calculate GCF of 660,133
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56023457/1
Therefore the LCM of Fractions 6287/660,8911/133 is 56023457
Factors of 660
List of positive integer factors of 660 that divides 660 without a remainder.
1,2,3,4,5,6,10,11,12,15,20,22,30,33,44,55,60,66,110,132,165,220,330,660
Factors of 133
List of positive integer factors of 133 that divides 133 without a remainder.
1,7,19,133
Greatest Common Factor
We found the factors 660,133 . The biggest common factor number is the GCF number.
So the greatest common factor 660,133 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 6287/660, 8911/133?
Answer: LCM of Numerators as per given numbers 6287/660, 8911/133 is
LCM of Numerators i.e. for 6287,8911 is 56023457
GCF of denominators i.e. for 660,133 is 1.
Thus, LCM of Fractions is 56023457.Finally, LCM of Fractions for 6287/660, 8911/133 is 56023457.