Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 352/27, 327/7578 quickly i.e. 115104/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 352/27, 327/7578 is 115104/9.
LCM(352/27, 327/7578) = 115104/9
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 352/27,327/7578
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 352,327
Least Common Multiple of Numerators i.e. LCM of 352,327 is 115104.
GCF of Denominators means GCF of 27,7578 as per the given fractions.
GCF of 27,7578 is 9 as it is the largest common factor for these numbers.
Lets's calculate LCM of 352,327
Given numbers has no common factors except 1. So, there LCM is their product i.e 115104
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 352,327 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(352,327) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(352,327) x common factors =1 x 1 = 1
LCM(352,327) = ( 352 × 327 ) / 1
LCM(352,327) = 115104 / 1
LCM(352,327) = 115104
Lets's calculate GCF of 27,7578
3 | 27, 7578 |
3 | 9, 2526 |
3, 842 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 115104/9
Therefore the LCM of Fractions 352/27,327/7578 is 115104/9
Factors of 27
List of positive integer factors of 27 that divides 27 without a remainder.
1,3,9,27
Factors of 7578
List of positive integer factors of 7578 that divides 7578 without a remainder.
1,2,3,6,9,18,421,842,1263,2526,3789,7578
Greatest Common Factor
We found the factors 27,7578 . The biggest common factor number is the GCF number.
So the greatest common factor 27,7578 is 9.
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 352/27, 327/7578?
Answer: LCM of Numerators as per given numbers 352/27, 327/7578 is
LCM of Numerators i.e. for 352,327 is 115104
GCF of denominators i.e. for 27,7578 is 9.
Thus, LCM of Fractions is 115104/9.Finally, LCM of Fractions for 352/27, 327/7578 is 115104/9.