Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 40/991, 2815/8599 quickly i.e. 22520 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 40/991, 2815/8599 is 22520.
LCM(40/991, 2815/8599) = 22520
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 40/991,2815/8599
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 40,2815
Least Common Multiple of Numerators i.e. LCM of 40,2815 is 22520.
GCF of Denominators means GCF of 991,8599 as per the given fractions.
GCF of 991,8599 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 40,2815
5 | 40, 2815 |
8, 563 |
∴ So the LCM of the given numbers is 5 x 8 x 563 = 22520
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 40,2815 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(40,2815) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(40,2815) x common factors =5 x 1 = 5
LCM(40,2815) = ( 40 × 2815 ) / 5
LCM(40,2815) = 112600 / 5
LCM(40,2815) = 22520
Lets's calculate GCF of 991,8599
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22520/1
Therefore the LCM of Fractions 40/991,2815/8599 is 22520
Factors of 991
List of positive integer factors of 991 that divides 991 without a remainder.
1,991
Factors of 8599
List of positive integer factors of 8599 that divides 8599 without a remainder.
1,8599
Greatest Common Factor
We found the factors 991,8599 . The biggest common factor number is the GCF number.
So the greatest common factor 991,8599 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 40/991, 2815/8599?
Answer: LCM of Numerators as per given numbers 40/991, 2815/8599 is
LCM of Numerators i.e. for 40,2815 is 22520
GCF of denominators i.e. for 991,8599 is 1.
Thus, LCM of Fractions is 22520.Finally, LCM of Fractions for 40/991, 2815/8599 is 22520.