Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7921/396, 2577/4022 quickly i.e. 20412417/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7921/396, 2577/4022 is 20412417/2.
LCM(7921/396, 2577/4022) = 20412417/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7921/396,2577/4022
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 7921,2577
Least Common Multiple of Numerators i.e. LCM of 7921,2577 is 20412417.
GCF of Denominators means GCF of 396,4022 as per the given fractions.
GCF of 396,4022 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7921,2577
Given numbers has no common factors except 1. So, there LCM is their product i.e 20412417
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 7921,2577 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7921,2577) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7921,2577) x common factors =1 x 1 = 1
LCM(7921,2577) = ( 7921 × 2577 ) / 1
LCM(7921,2577) = 20412417 / 1
LCM(7921,2577) = 20412417
Lets's calculate GCF of 396,4022
2 | 396, 4022 |
198, 2011 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20412417/2
Therefore the LCM of Fractions 7921/396,2577/4022 is 20412417/2
Factors of 396
List of positive integer factors of 396 that divides 396 without a remainder.
1,2,3,4,6,9,11,12,18,22,33,36,44,66,99,132,198,396
Factors of 4022
List of positive integer factors of 4022 that divides 4022 without a remainder.
1,2,2011,4022
Greatest Common Factor
We found the factors 396,4022 . The biggest common factor number is the GCF number.
So the greatest common factor 396,4022 is 2.
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 7921/396, 2577/4022?
Answer: LCM of Numerators as per given numbers 7921/396, 2577/4022 is
LCM of Numerators i.e. for 7921,2577 is 20412417
GCF of denominators i.e. for 396,4022 is 2.
Thus, LCM of Fractions is 20412417/2.Finally, LCM of Fractions for 7921/396, 2577/4022 is 20412417/2.