Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 83/29, 75/30, 53/326 quickly i.e. 329925 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 83/29, 75/30, 53/326 is 329925.
LCM(83/29, 75/30, 53/326) = 329925
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 83/29,75/30,53/326
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 83,75,53
Least Common Multiple of Numerators i.e. LCM of 83,75,53 is 329925.
GCF of Denominators means GCF of 29,30,326 as per the given fractions.
GCF of 29,30,326 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 83,75,53
Given numbers has no common factors except 1. So, there LCM is their product i.e 329925
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 83,75,53 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(83,75,53) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(83,75,53) x common factors =1 x 1 = 1
LCM(83,75,53) = ( 83 × 75 × 53 ) / 1
LCM(83,75,53) = 329925 / 1
LCM(83,75,53) = 329925
Lets's calculate GCF of 29,30,326
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 329925/1
Therefore the LCM of Fractions 83/29,75/30,53/326 is 329925
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 30
List of positive integer factors of 30 that divides 30 without a remainder.
1,2,3,5,6,10,15,30
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Greatest Common Factor
We found the factors 29,30,326 . The biggest common factor number is the GCF number.
So the greatest common factor 29,30,326 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 83/29, 75/30, 53/326?
Answer: LCM of Numerators as per given numbers 83/29, 75/30, 53/326 is
LCM of Numerators i.e. for 83,75,53 is 329925
GCF of denominators i.e. for 29,30,326 is 1.
Thus, LCM of Fractions is 329925.Finally, LCM of Fractions for 83/29, 75/30, 53/326 is 329925.