Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 729/325, 1375/1326 quickly i.e. 1002375/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 729/325, 1375/1326 is 1002375/13.
LCM(729/325, 1375/1326) = 1002375/13
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 729/325,1375/1326
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 729,1375
Least Common Multiple of Numerators i.e. LCM of 729,1375 is 1002375.
GCF of Denominators means GCF of 325,1326 as per the given fractions.
GCF of 325,1326 is 13 as it is the largest common factor for these numbers.
Lets's calculate LCM of 729,1375
Given numbers has no common factors except 1. So, there LCM is their product i.e 1002375
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 729,1375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,1375) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,1375) x common factors =1 x 1 = 1
LCM(729,1375) = ( 729 × 1375 ) / 1
LCM(729,1375) = 1002375 / 1
LCM(729,1375) = 1002375
Lets's calculate GCF of 325,1326
13 | 325, 1326 |
25, 102 |
∴ So the GCF of the given numbers is 13 = 13
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1002375/13
Therefore the LCM of Fractions 729/325,1375/1326 is 1002375/13
Factors of 325
List of positive integer factors of 325 that divides 325 without a remainder.
1,5,13,25,65,325
Factors of 1326
List of positive integer factors of 1326 that divides 1326 without a remainder.
1,2,3,6,13,17,26,34,39,51,78,102,221,442,663,1326
Greatest Common Factor
We found the factors 325,1326 . The biggest common factor number is the GCF number.
So the greatest common factor 325,1326 is 13.
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 729/325, 1375/1326?
Answer: LCM of Numerators as per given numbers 729/325, 1375/1326 is
LCM of Numerators i.e. for 729,1375 is 1002375
GCF of denominators i.e. for 325,1326 is 13.
Thus, LCM of Fractions is 1002375/13.Finally, LCM of Fractions for 729/325, 1375/1326 is 1002375/13.