Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 309/267, 7019/110 quickly i.e. 2168871 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 309/267, 7019/110 is 2168871.
LCM(309/267, 7019/110) = 2168871
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 309/267,7019/110
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 309,7019
Least Common Multiple of Numerators i.e. LCM of 309,7019 is 2168871.
GCF of Denominators means GCF of 267,110 as per the given fractions.
GCF of 267,110 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 309,7019
Given numbers has no common factors except 1. So, there LCM is their product i.e 2168871
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 309,7019 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(309,7019) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(309,7019) x common factors =1 x 1 = 1
LCM(309,7019) = ( 309 × 7019 ) / 1
LCM(309,7019) = 2168871 / 1
LCM(309,7019) = 2168871
Lets's calculate GCF of 267,110
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2168871/1
Therefore the LCM of Fractions 309/267,7019/110 is 2168871
Factors of 267
List of positive integer factors of 267 that divides 267 without a remainder.
1,3,89,267
Factors of 110
List of positive integer factors of 110 that divides 110 without a remainder.
1,2,5,10,11,22,55,110
Greatest Common Factor
We found the factors 267,110 . The biggest common factor number is the GCF number.
So the greatest common factor 267,110 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 309/267, 7019/110?
Answer: LCM of Numerators as per given numbers 309/267, 7019/110 is
LCM of Numerators i.e. for 309,7019 is 2168871
GCF of denominators i.e. for 267,110 is 1.
Thus, LCM of Fractions is 2168871.Finally, LCM of Fractions for 309/267, 7019/110 is 2168871.