Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/656, 7230/5643 quickly i.e. 57840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/656, 7230/5643 is 57840.
LCM(16/656, 7230/5643) = 57840
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/656,7230/5643
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 16,7230
Least Common Multiple of Numerators i.e. LCM of 16,7230 is 57840.
GCF of Denominators means GCF of 656,5643 as per the given fractions.
GCF of 656,5643 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,7230
2 | 16, 7230 |
8, 3615 |
∴ So the LCM of the given numbers is 2 x 8 x 3615 = 57840
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 16,7230 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,7230) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(16,7230) x common factors =2 x 1 = 2
LCM(16,7230) = ( 16 × 7230 ) / 2
LCM(16,7230) = 115680 / 2
LCM(16,7230) = 57840
Lets's calculate GCF of 656,5643
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 57840/1
Therefore the LCM of Fractions 16/656,7230/5643 is 57840
Factors of 656
List of positive integer factors of 656 that divides 656 without a remainder.
1,2,4,8,16,41,82,164,328,656
Factors of 5643
List of positive integer factors of 5643 that divides 5643 without a remainder.
1,3,9,11,19,27,33,57,99,171,209,297,513,627,1881,5643
Greatest Common Factor
We found the factors 656,5643 . The biggest common factor number is the GCF number.
So the greatest common factor 656,5643 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 16/656, 7230/5643?
Answer: LCM of Numerators as per given numbers 16/656, 7230/5643 is
LCM of Numerators i.e. for 16,7230 is 57840
GCF of denominators i.e. for 656,5643 is 1.
Thus, LCM of Fractions is 57840.Finally, LCM of Fractions for 16/656, 7230/5643 is 57840.