Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 2866/137, 7569/143 quickly i.e. 21692754 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 2866/137, 7569/143 is 21692754.
LCM(2866/137, 7569/143) = 21692754
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 2866/137,7569/143
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 2866,7569
Least Common Multiple of Numerators i.e. LCM of 2866,7569 is 21692754.
GCF of Denominators means GCF of 137,143 as per the given fractions.
GCF of 137,143 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 2866,7569
Given numbers has no common factors except 1. So, there LCM is their product i.e 21692754
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 2866,7569 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(2866,7569) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(2866,7569) x common factors =1 x 1 = 1
LCM(2866,7569) = ( 2866 × 7569 ) / 1
LCM(2866,7569) = 21692754 / 1
LCM(2866,7569) = 21692754
Lets's calculate GCF of 137,143
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21692754/1
Therefore the LCM of Fractions 2866/137,7569/143 is 21692754
Factors of 137
List of positive integer factors of 137 that divides 137 without a remainder.
1,137
Factors of 143
List of positive integer factors of 143 that divides 143 without a remainder.
1,11,13,143
Greatest Common Factor
We found the factors 137,143 . The biggest common factor number is the GCF number.
So the greatest common factor 137,143 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 2866/137, 7569/143?
Answer: LCM of Numerators as per given numbers 2866/137, 7569/143 is
LCM of Numerators i.e. for 2866,7569 is 21692754
GCF of denominators i.e. for 137,143 is 1.
Thus, LCM of Fractions is 21692754.Finally, LCM of Fractions for 2866/137, 7569/143 is 21692754.