Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9789/881, 9184/577 quickly i.e. 89902176 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9789/881, 9184/577 is 89902176.
LCM(9789/881, 9184/577) = 89902176
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9789/881,9184/577
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 9789,9184
Least Common Multiple of Numerators i.e. LCM of 9789,9184 is 89902176.
GCF of Denominators means GCF of 881,577 as per the given fractions.
GCF of 881,577 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9789,9184
Given numbers has no common factors except 1. So, there LCM is their product i.e 89902176
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 9789,9184 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9789,9184) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9789,9184) x common factors =1 x 1 = 1
LCM(9789,9184) = ( 9789 × 9184 ) / 1
LCM(9789,9184) = 89902176 / 1
LCM(9789,9184) = 89902176
Lets's calculate GCF of 881,577
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 89902176/1
Therefore the LCM of Fractions 9789/881,9184/577 is 89902176
Factors of 881
List of positive integer factors of 881 that divides 881 without a remainder.
1,881
Factors of 577
List of positive integer factors of 577 that divides 577 without a remainder.
1,577
Greatest Common Factor
We found the factors 881,577 . The biggest common factor number is the GCF number.
So the greatest common factor 881,577 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 9789/881, 9184/577?
Answer: LCM of Numerators as per given numbers 9789/881, 9184/577 is
LCM of Numerators i.e. for 9789,9184 is 89902176
GCF of denominators i.e. for 881,577 is 1.
Thus, LCM of Fractions is 89902176.Finally, LCM of Fractions for 9789/881, 9184/577 is 89902176.