Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7359/289, 9749/1732 quickly i.e. 71742891 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7359/289, 9749/1732 is 71742891.
LCM(7359/289, 9749/1732) = 71742891
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7359/289,9749/1732
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 7359,9749
Least Common Multiple of Numerators i.e. LCM of 7359,9749 is 71742891.
GCF of Denominators means GCF of 289,1732 as per the given fractions.
GCF of 289,1732 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7359,9749
Given numbers has no common factors except 1. So, there LCM is their product i.e 71742891
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 7359,9749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7359,9749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7359,9749) x common factors =1 x 1 = 1
LCM(7359,9749) = ( 7359 × 9749 ) / 1
LCM(7359,9749) = 71742891 / 1
LCM(7359,9749) = 71742891
Lets's calculate GCF of 289,1732
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 71742891/1
Therefore the LCM of Fractions 7359/289,9749/1732 is 71742891
Factors of 289
List of positive integer factors of 289 that divides 289 without a remainder.
1,17,289
Factors of 1732
List of positive integer factors of 1732 that divides 1732 without a remainder.
1,2,4,433,866,1732
Greatest Common Factor
We found the factors 289,1732 . The biggest common factor number is the GCF number.
So the greatest common factor 289,1732 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 7359/289, 9749/1732?
Answer: LCM of Numerators as per given numbers 7359/289, 9749/1732 is
LCM of Numerators i.e. for 7359,9749 is 71742891
GCF of denominators i.e. for 289,1732 is 1.
Thus, LCM of Fractions is 71742891.Finally, LCM of Fractions for 7359/289, 9749/1732 is 71742891.