Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9281/561, 2652/4214 quickly i.e. 24613212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9281/561, 2652/4214 is 24613212.
LCM(9281/561, 2652/4214) = 24613212
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9281/561,2652/4214
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 9281,2652
Least Common Multiple of Numerators i.e. LCM of 9281,2652 is 24613212.
GCF of Denominators means GCF of 561,4214 as per the given fractions.
GCF of 561,4214 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9281,2652
Given numbers has no common factors except 1. So, there LCM is their product i.e 24613212
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 9281,2652 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9281,2652) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9281,2652) x common factors =1 x 1 = 1
LCM(9281,2652) = ( 9281 × 2652 ) / 1
LCM(9281,2652) = 24613212 / 1
LCM(9281,2652) = 24613212
Lets's calculate GCF of 561,4214
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 24613212/1
Therefore the LCM of Fractions 9281/561,2652/4214 is 24613212
Factors of 561
List of positive integer factors of 561 that divides 561 without a remainder.
1,3,11,17,33,51,187,561
Factors of 4214
List of positive integer factors of 4214 that divides 4214 without a remainder.
1,2,7,14,43,49,86,98,301,602,2107,4214
Greatest Common Factor
We found the factors 561,4214 . The biggest common factor number is the GCF number.
So the greatest common factor 561,4214 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 9281/561, 2652/4214?
Answer: LCM of Numerators as per given numbers 9281/561, 2652/4214 is
LCM of Numerators i.e. for 9281,2652 is 24613212
GCF of denominators i.e. for 561,4214 is 1.
Thus, LCM of Fractions is 24613212.Finally, LCM of Fractions for 9281/561, 2652/4214 is 24613212.