Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 87/779, 8840/5723 quickly i.e. 769080 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 87/779, 8840/5723 is 769080.
LCM(87/779, 8840/5723) = 769080
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 87/779,8840/5723
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 87,8840
Least Common Multiple of Numerators i.e. LCM of 87,8840 is 769080.
GCF of Denominators means GCF of 779,5723 as per the given fractions.
GCF of 779,5723 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 87,8840
Given numbers has no common factors except 1. So, there LCM is their product i.e 769080
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 87,8840 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(87,8840) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(87,8840) x common factors =1 x 1 = 1
LCM(87,8840) = ( 87 × 8840 ) / 1
LCM(87,8840) = 769080 / 1
LCM(87,8840) = 769080
Lets's calculate GCF of 779,5723
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 769080/1
Therefore the LCM of Fractions 87/779,8840/5723 is 769080
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 5723
List of positive integer factors of 5723 that divides 5723 without a remainder.
1,59,97,5723
Greatest Common Factor
We found the factors 779,5723 . The biggest common factor number is the GCF number.
So the greatest common factor 779,5723 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 87/779, 8840/5723?
Answer: LCM of Numerators as per given numbers 87/779, 8840/5723 is
LCM of Numerators i.e. for 87,8840 is 769080
GCF of denominators i.e. for 779,5723 is 1.
Thus, LCM of Fractions is 769080.Finally, LCM of Fractions for 87/779, 8840/5723 is 769080.