Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 16/45, 85/50, 749/567 quickly i.e. 1018640 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 16/45, 85/50, 749/567 is 1018640.
LCM(16/45, 85/50, 749/567) = 1018640
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 16/45,85/50,749/567
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 16,85,749
Least Common Multiple of Numerators i.e. LCM of 16,85,749 is 1018640.
GCF of Denominators means GCF of 45,50,567 as per the given fractions.
GCF of 45,50,567 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 16,85,749
Given numbers has no common factors except 1. So, there LCM is their product i.e 1018640
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 16,85,749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(16,85,749) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(16,85,749) x common factors =1 x 1 = 1
LCM(16,85,749) = ( 16 × 85 × 749 ) / 1
LCM(16,85,749) = 1018640 / 1
LCM(16,85,749) = 1018640
Lets's calculate GCF of 45,50,567
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1018640/1
Therefore the LCM of Fractions 16/45,85/50,749/567 is 1018640
Factors of 45
List of positive integer factors of 45 that divides 45 without a remainder.
1,3,5,9,15,45
Factors of 50
List of positive integer factors of 50 that divides 50 without a remainder.
1,2,5,10,25,50
Factors of 567
List of positive integer factors of 567 that divides 567 without a remainder.
1,3,7,9,21,27,63,81,189,567
Greatest Common Factor
We found the factors 45,50,567 . The biggest common factor number is the GCF number.
So the greatest common factor 45,50,567 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 16/45, 85/50, 749/567?
Answer: LCM of Numerators as per given numbers 16/45, 85/50, 749/567 is
LCM of Numerators i.e. for 16,85,749 is 1018640
GCF of denominators i.e. for 45,50,567 is 1.
Thus, LCM of Fractions is 1018640.Finally, LCM of Fractions for 16/45, 85/50, 749/567 is 1018640.