Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 41/798, 2682/9575 quickly i.e. 109962 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 41/798, 2682/9575 is 109962.
LCM(41/798, 2682/9575) = 109962
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 41/798,2682/9575
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 41,2682
Least Common Multiple of Numerators i.e. LCM of 41,2682 is 109962.
GCF of Denominators means GCF of 798,9575 as per the given fractions.
GCF of 798,9575 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 41,2682
Given numbers has no common factors except 1. So, there LCM is their product i.e 109962
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 41,2682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(41,2682) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(41,2682) x common factors =1 x 1 = 1
LCM(41,2682) = ( 41 × 2682 ) / 1
LCM(41,2682) = 109962 / 1
LCM(41,2682) = 109962
Lets's calculate GCF of 798,9575
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 109962/1
Therefore the LCM of Fractions 41/798,2682/9575 is 109962
Factors of 798
List of positive integer factors of 798 that divides 798 without a remainder.
1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798
Factors of 9575
List of positive integer factors of 9575 that divides 9575 without a remainder.
1,5,25,383,1915,9575
Greatest Common Factor
We found the factors 798,9575 . The biggest common factor number is the GCF number.
So the greatest common factor 798,9575 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 41/798, 2682/9575?
Answer: LCM of Numerators as per given numbers 41/798, 2682/9575 is
LCM of Numerators i.e. for 41,2682 is 109962
GCF of denominators i.e. for 798,9575 is 1.
Thus, LCM of Fractions is 109962.Finally, LCM of Fractions for 41/798, 2682/9575 is 109962.