Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 7881/725, 7042/8711 quickly i.e. 55498002 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 7881/725, 7042/8711 is 55498002.
LCM(7881/725, 7042/8711) = 55498002
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 7881/725,7042/8711
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 7881,7042
Least Common Multiple of Numerators i.e. LCM of 7881,7042 is 55498002.
GCF of Denominators means GCF of 725,8711 as per the given fractions.
GCF of 725,8711 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 7881,7042
Given numbers has no common factors except 1. So, there LCM is their product i.e 55498002
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 7881,7042 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(7881,7042) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(7881,7042) x common factors =1 x 1 = 1
LCM(7881,7042) = ( 7881 × 7042 ) / 1
LCM(7881,7042) = 55498002 / 1
LCM(7881,7042) = 55498002
Lets's calculate GCF of 725,8711
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55498002/1
Therefore the LCM of Fractions 7881/725,7042/8711 is 55498002
Factors of 725
List of positive integer factors of 725 that divides 725 without a remainder.
1,5,25,29,145,725
Factors of 8711
List of positive integer factors of 8711 that divides 8711 without a remainder.
1,31,281,8711
Greatest Common Factor
We found the factors 725,8711 . The biggest common factor number is the GCF number.
So the greatest common factor 725,8711 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 7881/725, 7042/8711?
Answer: LCM of Numerators as per given numbers 7881/725, 7042/8711 is
LCM of Numerators i.e. for 7881,7042 is 55498002
GCF of denominators i.e. for 725,8711 is 1.
Thus, LCM of Fractions is 55498002.Finally, LCM of Fractions for 7881/725, 7042/8711 is 55498002.