Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 871/65, 2442/911 quickly i.e. 2126982 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 871/65, 2442/911 is 2126982.
LCM(871/65, 2442/911) = 2126982
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 871/65,2442/911
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 871,2442
Least Common Multiple of Numerators i.e. LCM of 871,2442 is 2126982.
GCF of Denominators means GCF of 65,911 as per the given fractions.
GCF of 65,911 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 871,2442
Given numbers has no common factors except 1. So, there LCM is their product i.e 2126982
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 871,2442 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(871,2442) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(871,2442) x common factors =1 x 1 = 1
LCM(871,2442) = ( 871 × 2442 ) / 1
LCM(871,2442) = 2126982 / 1
LCM(871,2442) = 2126982
Lets's calculate GCF of 65,911
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2126982/1
Therefore the LCM of Fractions 871/65,2442/911 is 2126982
Factors of 65
List of positive integer factors of 65 that divides 65 without a remainder.
1,5,13,65
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Greatest Common Factor
We found the factors 65,911 . The biggest common factor number is the GCF number.
So the greatest common factor 65,911 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 871/65, 2442/911?
Answer: LCM of Numerators as per given numbers 871/65, 2442/911 is
LCM of Numerators i.e. for 871,2442 is 2126982
GCF of denominators i.e. for 65,911 is 1.
Thus, LCM of Fractions is 2126982.Finally, LCM of Fractions for 871/65, 2442/911 is 2126982.