Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8282/267, 2607/2369 quickly i.e. 21591174 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8282/267, 2607/2369 is 21591174.
LCM(8282/267, 2607/2369) = 21591174
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8282/267,2607/2369
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 8282,2607
Least Common Multiple of Numerators i.e. LCM of 8282,2607 is 21591174.
GCF of Denominators means GCF of 267,2369 as per the given fractions.
GCF of 267,2369 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8282,2607
Given numbers has no common factors except 1. So, there LCM is their product i.e 21591174
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 8282,2607 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8282,2607) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8282,2607) x common factors =1 x 1 = 1
LCM(8282,2607) = ( 8282 × 2607 ) / 1
LCM(8282,2607) = 21591174 / 1
LCM(8282,2607) = 21591174
Lets's calculate GCF of 267,2369
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21591174/1
Therefore the LCM of Fractions 8282/267,2607/2369 is 21591174
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 2369
List of positive integer factors of 2369 that divides 2369 without a remainder.
1,23,103,2369
Greatest Common Factor
We found the factors 267,2369 . The biggest common factor number is the GCF number.
So the greatest common factor 267,2369 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 8282/267, 2607/2369?
Answer: LCM of Numerators as per given numbers 8282/267, 2607/2369 is
LCM of Numerators i.e. for 8282,2607 is 21591174
GCF of denominators i.e. for 267,2369 is 1.
Thus, LCM of Fractions is 21591174.Finally, LCM of Fractions for 8282/267, 2607/2369 is 21591174.