Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 9787/129, 4309/8792 quickly i.e. 42172183 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 9787/129, 4309/8792 is 42172183.
LCM(9787/129, 4309/8792) = 42172183
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 9787/129,4309/8792
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 9787,4309
Least Common Multiple of Numerators i.e. LCM of 9787,4309 is 42172183.
GCF of Denominators means GCF of 129,8792 as per the given fractions.
GCF of 129,8792 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 9787,4309
Given numbers has no common factors except 1. So, there LCM is their product i.e 42172183
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 9787,4309 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(9787,4309) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(9787,4309) x common factors =1 x 1 = 1
LCM(9787,4309) = ( 9787 × 4309 ) / 1
LCM(9787,4309) = 42172183 / 1
LCM(9787,4309) = 42172183
Lets's calculate GCF of 129,8792
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 42172183/1
Therefore the LCM of Fractions 9787/129,4309/8792 is 42172183
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Factors of 8792
List of positive integer factors of 8792 that divides 8792 without a remainder.
1,2,4,7,8,14,28,56,157,314,628,1099,1256,2198,4396,8792
Greatest Common Factor
We found the factors 129,8792 . The biggest common factor number is the GCF number.
So the greatest common factor 129,8792 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 9787/129, 4309/8792?
Answer: LCM of Numerators as per given numbers 9787/129, 4309/8792 is
LCM of Numerators i.e. for 9787,4309 is 42172183
GCF of denominators i.e. for 129,8792 is 1.
Thus, LCM of Fractions is 42172183.Finally, LCM of Fractions for 9787/129, 4309/8792 is 42172183.