Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3369/561, 2764/517 quickly i.e. 9311916/11 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3369/561, 2764/517 is 9311916/11.
LCM(3369/561, 2764/517) = 9311916/11
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3369/561,2764/517
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 3369,2764
Least Common Multiple of Numerators i.e. LCM of 3369,2764 is 9311916.
GCF of Denominators means GCF of 561,517 as per the given fractions.
GCF of 561,517 is 11 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3369,2764
Given numbers has no common factors except 1. So, there LCM is their product i.e 9311916
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 3369,2764 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3369,2764) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3369,2764) x common factors =1 x 1 = 1
LCM(3369,2764) = ( 3369 × 2764 ) / 1
LCM(3369,2764) = 9311916 / 1
LCM(3369,2764) = 9311916
Lets's calculate GCF of 561,517
11 | 561, 517 |
51, 47 |
∴ So the GCF of the given numbers is 11 = 11
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9311916/11
Therefore the LCM of Fractions 3369/561,2764/517 is 9311916/11
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 517
List of positive integer factors of 517 that divides 517 without a remainder.
1,11,47,517
Greatest Common Factor
We found the factors 561,517 . The biggest common factor number is the GCF number.
So the greatest common factor 561,517 is 11.
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 3369/561, 2764/517?
Answer: LCM of Numerators as per given numbers 3369/561, 2764/517 is
LCM of Numerators i.e. for 3369,2764 is 9311916
GCF of denominators i.e. for 561,517 is 11.
Thus, LCM of Fractions is 9311916/11.Finally, LCM of Fractions for 3369/561, 2764/517 is 9311916/11.