Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1749/14, 6656/541 quickly i.e. 11641344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1749/14, 6656/541 is 11641344.
LCM(1749/14, 6656/541) = 11641344
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1749/14,6656/541
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 1749,6656
Least Common Multiple of Numerators i.e. LCM of 1749,6656 is 11641344.
GCF of Denominators means GCF of 14,541 as per the given fractions.
GCF of 14,541 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1749,6656
Given numbers has no common factors except 1. So, there LCM is their product i.e 11641344
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 1749,6656 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1749,6656) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1749,6656) x common factors =1 x 1 = 1
LCM(1749,6656) = ( 1749 × 6656 ) / 1
LCM(1749,6656) = 11641344 / 1
LCM(1749,6656) = 11641344
Lets's calculate GCF of 14,541
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 11641344/1
Therefore the LCM of Fractions 1749/14,6656/541 is 11641344
Factors of 14
List of positive integer factors of 14 that divides 14 without a remainder.
1,2,7,14
Factors of 541
List of positive integer factors of 541 that divides 541 without a remainder.
1,541
Greatest Common Factor
We found the factors 14,541 . The biggest common factor number is the GCF number.
So the greatest common factor 14,541 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 1749/14, 6656/541?
Answer: LCM of Numerators as per given numbers 1749/14, 6656/541 is
LCM of Numerators i.e. for 1749,6656 is 11641344
GCF of denominators i.e. for 14,541 is 1.
Thus, LCM of Fractions is 11641344.Finally, LCM of Fractions for 1749/14, 6656/541 is 11641344.