Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7/32, 3/11, 5/82, 73/204 quickly i.e. 7665 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7/32, 3/11, 5/82, 73/204 is 7665.
LCM(7/32, 3/11, 5/82, 73/204) = 7665
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7/32,3/11,5/82,73/204
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 7,3,5,73
Least Common Multiple of Numerators i.e. LCM of 7,3,5,73 is 7665.
GCF of Denominators means GCF of 32,11,82,204 as per the given fractions.
GCF of 32,11,82,204 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7,3,5,73
Given numbers has no common factors except 1. So, there LCM is their product i.e 7665
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 7,3,5,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7,3,5,73) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7,3,5,73) x common factors =1 x 1 = 1
LCM(7,3,5,73) = ( 7 × 3 × 5 × 73 ) / 1
LCM(7,3,5,73) = 7665 / 1
LCM(7,3,5,73) = 7665
Lets's calculate GCF of 32,11,82,204
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7665/1
Therefore the LCM of Fractions 7/32,3/11,5/82,73/204 is 7665
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 11
List of positive integer factors of 11 that divides 11 without a remainder.
1,11
Factors of 82
List of positive integer factors of 82 that divides 82 without a remainder.
1,2,41,82
Factors of 204
List of positive integer factors of 204 that divides 204 without a remainder.
1,2,3,4,6,12,17,34,51,68,102,204
Greatest Common Factor
We found the factors 32,11,82,204 . The biggest common factor number is the GCF number.
So the greatest common factor 32,11,82,204 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 7/32, 3/11, 5/82, 73/204?
Answer: LCM of Numerators as per given numbers 7/32, 3/11, 5/82, 73/204 is
LCM of Numerators i.e. for 7,3,5,73 is 7665
GCF of denominators i.e. for 32,11,82,204 is 1.
Thus, LCM of Fractions is 7665.Finally, LCM of Fractions for 7/32, 3/11, 5/82, 73/204 is 7665.