Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 329/68, 431/2525 quickly i.e. 141799 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 329/68, 431/2525 is 141799.
LCM(329/68, 431/2525) = 141799
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 329/68,431/2525
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 329,431
Least Common Multiple of Numerators i.e. LCM of 329,431 is 141799.
GCF of Denominators means GCF of 68,2525 as per the given fractions.
GCF of 68,2525 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 329,431
Given numbers has no common factors except 1. So, there LCM is their product i.e 141799
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 329,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,431) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,431) x common factors =1 x 1 = 1
LCM(329,431) = ( 329 × 431 ) / 1
LCM(329,431) = 141799 / 1
LCM(329,431) = 141799
Lets's calculate GCF of 68,2525
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 141799/1
Therefore the LCM of Fractions 329/68,431/2525 is 141799
Factors of 68
List of positive integer factors of 68 that divides 68 without a remainder.
1,2,4,17,34,68
Factors of 2525
List of positive integer factors of 2525 that divides 2525 without a remainder.
1,5,25,101,505,2525
Greatest Common Factor
We found the factors 68,2525 . The biggest common factor number is the GCF number.
So the greatest common factor 68,2525 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 329/68, 431/2525?
Answer: LCM of Numerators as per given numbers 329/68, 431/2525 is
LCM of Numerators i.e. for 329,431 is 141799
GCF of denominators i.e. for 68,2525 is 1.
Thus, LCM of Fractions is 141799.Finally, LCM of Fractions for 329/68, 431/2525 is 141799.