Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 989/33, 745/9881 quickly i.e. 736805 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 989/33, 745/9881 is 736805.
LCM(989/33, 745/9881) = 736805
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 989/33,745/9881
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 989,745
Least Common Multiple of Numerators i.e. LCM of 989,745 is 736805.
GCF of Denominators means GCF of 33,9881 as per the given fractions.
GCF of 33,9881 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 989,745
Given numbers has no common factors except 1. So, there LCM is their product i.e 736805
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 989,745 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(989,745) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(989,745) x common factors =1 x 1 = 1
LCM(989,745) = ( 989 × 745 ) / 1
LCM(989,745) = 736805 / 1
LCM(989,745) = 736805
Lets's calculate GCF of 33,9881
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 736805/1
Therefore the LCM of Fractions 989/33,745/9881 is 736805
Factors of 33
List of positive integer factors of 33 that divides 33 without a remainder.
1,3,11,33
Factors of 9881
List of positive integer factors of 9881 that divides 9881 without a remainder.
1,41,241,9881
Greatest Common Factor
We found the factors 33,9881 . The biggest common factor number is the GCF number.
So the greatest common factor 33,9881 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 989/33, 745/9881?
Answer: LCM of Numerators as per given numbers 989/33, 745/9881 is
LCM of Numerators i.e. for 989,745 is 736805
GCF of denominators i.e. for 33,9881 is 1.
Thus, LCM of Fractions is 736805.Finally, LCM of Fractions for 989/33, 745/9881 is 736805.