Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1363/327, 6993/159 quickly i.e. 3177153 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1363/327, 6993/159 is 3177153.
LCM(1363/327, 6993/159) = 3177153
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1363/327,6993/159
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 1363,6993
Least Common Multiple of Numerators i.e. LCM of 1363,6993 is 9531459.
GCF of Denominators means GCF of 327,159 as per the given fractions.
GCF of 327,159 is 3 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1363,6993
Given numbers has no common factors except 1. So, there LCM is their product i.e 9531459
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 1363,6993 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1363,6993) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1363,6993) x common factors =1 x 1 = 1
LCM(1363,6993) = ( 1363 × 6993 ) / 1
LCM(1363,6993) = 9531459 / 1
LCM(1363,6993) = 9531459
Lets's calculate GCF of 327,159
3 | 327, 159 |
109, 53 |
∴ So the GCF of the given numbers is 3 = 3
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9531459/3
Therefore the LCM of Fractions 1363/327,6993/159 is 3177153
Factors of 327
List of positive integer factors of 327 that divides 327 without a remainder.
1,3,109,327
Factors of 159
List of positive integer factors of 159 that divides 159 without a remainder.
1,3,53,159
Greatest Common Factor
We found the factors 327,159 . The biggest common factor number is the GCF number.
So the greatest common factor 327,159 is 3.
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 1363/327, 6993/159?
Answer: LCM of Numerators as per given numbers 1363/327, 6993/159 is
LCM of Numerators i.e. for 1363,6993 is 9531459
GCF of denominators i.e. for 327,159 is 3.
Thus, LCM of Fractions is 3177153.Finally, LCM of Fractions for 1363/327, 6993/159 is 3177153.