Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 328/23, 601/8508 quickly i.e. 197128 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 328/23, 601/8508 is 197128.
LCM(328/23, 601/8508) = 197128
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 328/23,601/8508
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 328,601
Least Common Multiple of Numerators i.e. LCM of 328,601 is 197128.
GCF of Denominators means GCF of 23,8508 as per the given fractions.
GCF of 23,8508 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 328,601
Given numbers has no common factors except 1. So, there LCM is their product i.e 197128
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 328,601 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(328,601) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(328,601) x common factors =1 x 1 = 1
LCM(328,601) = ( 328 × 601 ) / 1
LCM(328,601) = 197128 / 1
LCM(328,601) = 197128
Lets's calculate GCF of 23,8508
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197128/1
Therefore the LCM of Fractions 328/23,601/8508 is 197128
Factors of 23
List of positive integer factors of 23 that divides 23 without a remainder.
1,23
Factors of 8508
List of positive integer factors of 8508 that divides 8508 without a remainder.
1,2,3,4,6,12,709,1418,2127,2836,4254,8508
Greatest Common Factor
We found the factors 23,8508 . The biggest common factor number is the GCF number.
So the greatest common factor 23,8508 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 328/23, 601/8508?
Answer: LCM of Numerators as per given numbers 328/23, 601/8508 is
LCM of Numerators i.e. for 328,601 is 197128
GCF of denominators i.e. for 23,8508 is 1.
Thus, LCM of Fractions is 197128.Finally, LCM of Fractions for 328/23, 601/8508 is 197128.