Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 3989/720, 7112/5437 quickly i.e. 28369768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 3989/720, 7112/5437 is 28369768.
LCM(3989/720, 7112/5437) = 28369768
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 3989/720,7112/5437
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 3989,7112
Least Common Multiple of Numerators i.e. LCM of 3989,7112 is 28369768.
GCF of Denominators means GCF of 720,5437 as per the given fractions.
GCF of 720,5437 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 3989,7112
Given numbers has no common factors except 1. So, there LCM is their product i.e 28369768
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 3989,7112 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(3989,7112) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(3989,7112) x common factors =1 x 1 = 1
LCM(3989,7112) = ( 3989 × 7112 ) / 1
LCM(3989,7112) = 28369768 / 1
LCM(3989,7112) = 28369768
Lets's calculate GCF of 720,5437
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28369768/1
Therefore the LCM of Fractions 3989/720,7112/5437 is 28369768
Factors of 720
List of positive integer factors of 720 that divides 720 without a remainder.
1,2,3,4,5,6,8,9,10,12,15,16,18,20,24,30,36,40,45,48,60,72,80,90,120,144,180,240,360,720
Factors of 5437
List of positive integer factors of 5437 that divides 5437 without a remainder.
1,5437
Greatest Common Factor
We found the factors 720,5437 . The biggest common factor number is the GCF number.
So the greatest common factor 720,5437 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 3989/720, 7112/5437?
Answer: LCM of Numerators as per given numbers 3989/720, 7112/5437 is
LCM of Numerators i.e. for 3989,7112 is 28369768
GCF of denominators i.e. for 720,5437 is 1.
Thus, LCM of Fractions is 28369768.Finally, LCM of Fractions for 3989/720, 7112/5437 is 28369768.