Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3903/976, 7545/1497 quickly i.e. 9816045 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3903/976, 7545/1497 is 9816045.
LCM(3903/976, 7545/1497) = 9816045
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3903/976,7545/1497
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 3903,7545
Least Common Multiple of Numerators i.e. LCM of 3903,7545 is 9816045.
GCF of Denominators means GCF of 976,1497 as per the given fractions.
GCF of 976,1497 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3903,7545
3 | 3903, 7545 |
1301, 2515 |
∴ So the LCM of the given numbers is 3 x 1301 x 2515 = 9816045
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 3903,7545 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3903,7545) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(3903,7545) x common factors =3 x 1 = 3
LCM(3903,7545) = ( 3903 × 7545 ) / 3
LCM(3903,7545) = 29448135 / 3
LCM(3903,7545) = 9816045
Lets's calculate GCF of 976,1497
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9816045/1
Therefore the LCM of Fractions 3903/976,7545/1497 is 9816045
Factors of 976
List of positive integer factors of 976 that divides 976 without a remainder.
1,2,4,8,16,61,122,244,488,976
Factors of 1497
List of positive integer factors of 1497 that divides 1497 without a remainder.
1,3,499,1497
Greatest Common Factor
We found the factors 976,1497 . The biggest common factor number is the GCF number.
So the greatest common factor 976,1497 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 3903/976, 7545/1497?
Answer: LCM of Numerators as per given numbers 3903/976, 7545/1497 is
LCM of Numerators i.e. for 3903,7545 is 9816045
GCF of denominators i.e. for 976,1497 is 1.
Thus, LCM of Fractions is 9816045.Finally, LCM of Fractions for 3903/976, 7545/1497 is 9816045.