Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 8932/832, 8285/781 quickly i.e. 74001620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 8932/832, 8285/781 is 74001620.
LCM(8932/832, 8285/781) = 74001620
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 8932/832,8285/781
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 8932,8285
Least Common Multiple of Numerators i.e. LCM of 8932,8285 is 74001620.
GCF of Denominators means GCF of 832,781 as per the given fractions.
GCF of 832,781 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 8932,8285
Given numbers has no common factors except 1. So, there LCM is their product i.e 74001620
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 8932,8285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(8932,8285) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(8932,8285) x common factors =1 x 1 = 1
LCM(8932,8285) = ( 8932 × 8285 ) / 1
LCM(8932,8285) = 74001620 / 1
LCM(8932,8285) = 74001620
Lets's calculate GCF of 832,781
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 74001620/1
Therefore the LCM of Fractions 8932/832,8285/781 is 74001620
Factors of 832
List of positive integer factors of 832 that divides 832 without a remainder.
1,2,4,8,13,16,26,32,52,64,104,208,416,832
Factors of 781
List of positive integer factors of 781 that divides 781 without a remainder.
1,11,71,781
Greatest Common Factor
We found the factors 832,781 . The biggest common factor number is the GCF number.
So the greatest common factor 832,781 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 8932/832, 8285/781?
Answer: LCM of Numerators as per given numbers 8932/832, 8285/781 is
LCM of Numerators i.e. for 8932,8285 is 74001620
GCF of denominators i.e. for 832,781 is 1.
Thus, LCM of Fractions is 74001620.Finally, LCM of Fractions for 8932/832, 8285/781 is 74001620.