Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 756/171, 7439/9061 quickly i.e. 5623884 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 756/171, 7439/9061 is 5623884.
LCM(756/171, 7439/9061) = 5623884
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 756/171,7439/9061
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 756,7439
Least Common Multiple of Numerators i.e. LCM of 756,7439 is 5623884.
GCF of Denominators means GCF of 171,9061 as per the given fractions.
GCF of 171,9061 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 756,7439
Given numbers has no common factors except 1. So, there LCM is their product i.e 5623884
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 756,7439 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(756,7439) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(756,7439) x common factors =1 x 1 = 1
LCM(756,7439) = ( 756 × 7439 ) / 1
LCM(756,7439) = 5623884 / 1
LCM(756,7439) = 5623884
Lets's calculate GCF of 171,9061
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5623884/1
Therefore the LCM of Fractions 756/171,7439/9061 is 5623884
Factors of 171
List of positive integer factors of 171 that divides 171 without a remainder.
1,3,9,19,57,171
Factors of 9061
List of positive integer factors of 9061 that divides 9061 without a remainder.
1,13,17,41,221,533,697,9061
Greatest Common Factor
We found the factors 171,9061 . The biggest common factor number is the GCF number.
So the greatest common factor 171,9061 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 756/171, 7439/9061?
Answer: LCM of Numerators as per given numbers 756/171, 7439/9061 is
LCM of Numerators i.e. for 756,7439 is 5623884
GCF of denominators i.e. for 171,9061 is 1.
Thus, LCM of Fractions is 5623884.Finally, LCM of Fractions for 756/171, 7439/9061 is 5623884.