Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 29/182, 73/369, 656/109 quickly i.e. 1388752 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 29/182, 73/369, 656/109 is 1388752.
LCM(29/182, 73/369, 656/109) = 1388752
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 29/182,73/369,656/109
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 29,73,656
Least Common Multiple of Numerators i.e. LCM of 29,73,656 is 1388752.
GCF of Denominators means GCF of 182,369,109 as per the given fractions.
GCF of 182,369,109 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 29,73,656
Given numbers has no common factors except 1. So, there LCM is their product i.e 1388752
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 29,73,656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(29,73,656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(29,73,656) x common factors =1 x 1 = 1
LCM(29,73,656) = ( 29 × 73 × 656 ) / 1
LCM(29,73,656) = 1388752 / 1
LCM(29,73,656) = 1388752
Lets's calculate GCF of 182,369,109
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1388752/1
Therefore the LCM of Fractions 29/182,73/369,656/109 is 1388752
Factors of 182
List of positive integer factors of 182 that divides 182 without a remainder.
1,2,7,13,14,26,91,182
Factors of 369
List of positive integer factors of 369 that divides 369 without a remainder.
1,3,9,41,123,369
Factors of 109
List of positive integer factors of 109 that divides 109 without a remainder.
1,109
Greatest Common Factor
We found the factors 182,369,109 . The biggest common factor number is the GCF number.
So the greatest common factor 182,369,109 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 29/182, 73/369, 656/109?
Answer: LCM of Numerators as per given numbers 29/182, 73/369, 656/109 is
LCM of Numerators i.e. for 29,73,656 is 1388752
GCF of denominators i.e. for 182,369,109 is 1.
Thus, LCM of Fractions is 1388752.Finally, LCM of Fractions for 29/182, 73/369, 656/109 is 1388752.