Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9765/557, 2582/6481 quickly i.e. 25213230 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9765/557, 2582/6481 is 25213230.
LCM(9765/557, 2582/6481) = 25213230
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9765/557,2582/6481
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 9765,2582
Least Common Multiple of Numerators i.e. LCM of 9765,2582 is 25213230.
GCF of Denominators means GCF of 557,6481 as per the given fractions.
GCF of 557,6481 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9765,2582
Given numbers has no common factors except 1. So, there LCM is their product i.e 25213230
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 9765,2582 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9765,2582) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9765,2582) x common factors =1 x 1 = 1
LCM(9765,2582) = ( 9765 × 2582 ) / 1
LCM(9765,2582) = 25213230 / 1
LCM(9765,2582) = 25213230
Lets's calculate GCF of 557,6481
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 25213230/1
Therefore the LCM of Fractions 9765/557,2582/6481 is 25213230
Factors of 557
List of positive integer factors of 557 that divides 557 without a remainder.
1,557
Factors of 6481
List of positive integer factors of 6481 that divides 6481 without a remainder.
1,6481
Greatest Common Factor
We found the factors 557,6481 . The biggest common factor number is the GCF number.
So the greatest common factor 557,6481 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 9765/557, 2582/6481?
Answer: LCM of Numerators as per given numbers 9765/557, 2582/6481 is
LCM of Numerators i.e. for 9765,2582 is 25213230
GCF of denominators i.e. for 557,6481 is 1.
Thus, LCM of Fractions is 25213230.Finally, LCM of Fractions for 9765/557, 2582/6481 is 25213230.