Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 27/384, 98/326, 613/403 quickly i.e. 1621998 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 27/384, 98/326, 613/403 is 1621998.
LCM(27/384, 98/326, 613/403) = 1621998
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 27/384,98/326,613/403
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 27,98,613
Least Common Multiple of Numerators i.e. LCM of 27,98,613 is 1621998.
GCF of Denominators means GCF of 384,326,403 as per the given fractions.
GCF of 384,326,403 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 27,98,613
Given numbers has no common factors except 1. So, there LCM is their product i.e 1621998
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 27,98,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(27,98,613) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(27,98,613) x common factors =1 x 1 = 1
LCM(27,98,613) = ( 27 × 98 × 613 ) / 1
LCM(27,98,613) = 1621998 / 1
LCM(27,98,613) = 1621998
Lets's calculate GCF of 384,326,403
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1621998/1
Therefore the LCM of Fractions 27/384,98/326,613/403 is 1621998
Factors of 384
List of positive integer factors of 384 that divides 384 without a remainder.
1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384
Factors of 326
List of positive integer factors of 326 that divides 326 without a remainder.
1,2,163,326
Factors of 403
List of positive integer factors of 403 that divides 403 without a remainder.
1,13,31,403
Greatest Common Factor
We found the factors 384,326,403 . The biggest common factor number is the GCF number.
So the greatest common factor 384,326,403 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 27/384, 98/326, 613/403?
Answer: LCM of Numerators as per given numbers 27/384, 98/326, 613/403 is
LCM of Numerators i.e. for 27,98,613 is 1621998
GCF of denominators i.e. for 384,326,403 is 1.
Thus, LCM of Fractions is 1621998.Finally, LCM of Fractions for 27/384, 98/326, 613/403 is 1621998.