Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/81, 89/78, 43/49, 81/573 quickly i.e. 4959792 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/81, 89/78, 43/49, 81/573 is 4959792.
LCM(16/81, 89/78, 43/49, 81/573) = 4959792
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/81,89/78,43/49,81/573
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 16,89,43,81
Least Common Multiple of Numerators i.e. LCM of 16,89,43,81 is 4959792.
GCF of Denominators means GCF of 81,78,49,573 as per the given fractions.
GCF of 81,78,49,573 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,89,43,81
Given numbers has no common factors except 1. So, there LCM is their product i.e 4959792
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 16,89,43,81 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,89,43,81) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,89,43,81) x common factors =1 x 1 = 1
LCM(16,89,43,81) = ( 16 × 89 × 43 × 81 ) / 1
LCM(16,89,43,81) = 4959792 / 1
LCM(16,89,43,81) = 4959792
Lets's calculate GCF of 81,78,49,573
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4959792/1
Therefore the LCM of Fractions 16/81,89/78,43/49,81/573 is 4959792
Factors of 81
List of positive integer factors of 81 that divides 81 without a remainder.
1,3,9,27,81
Factors of 78
List of positive integer factors of 78 that divides 78 without a remainder.
1,2,3,6,13,26,39,78
Factors of 49
List of positive integer factors of 49 that divides 49 without a remainder.
1,7,49
Factors of 573
List of positive integer factors of 573 that divides 573 without a remainder.
1,3,191,573
Greatest Common Factor
We found the factors 81,78,49,573 . The biggest common factor number is the GCF number.
So the greatest common factor 81,78,49,573 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 16/81, 89/78, 43/49, 81/573?
Answer: LCM of Numerators as per given numbers 16/81, 89/78, 43/49, 81/573 is
LCM of Numerators i.e. for 16,89,43,81 is 4959792
GCF of denominators i.e. for 81,78,49,573 is 1.
Thus, LCM of Fractions is 4959792.Finally, LCM of Fractions for 16/81, 89/78, 43/49, 81/573 is 4959792.