Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 1001/958, 1013/2886 quickly i.e. 1014013/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 1001/958, 1013/2886 is 1014013/2.
LCM(1001/958, 1013/2886) = 1014013/2
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 1001/958,1013/2886
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 1001,1013
Least Common Multiple of Numerators i.e. LCM of 1001,1013 is 1014013.
GCF of Denominators means GCF of 958,2886 as per the given fractions.
GCF of 958,2886 is 2 as it is the largest common factor for these numbers.
Lets's calculate LCM of 1001,1013
Given numbers has no common factors except 1. So, there LCM is their product i.e 1014013
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 1001,1013 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(1001,1013) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(1001,1013) x common factors =1 x 1 = 1
LCM(1001,1013) = ( 1001 × 1013 ) / 1
LCM(1001,1013) = 1014013 / 1
LCM(1001,1013) = 1014013
Lets's calculate GCF of 958,2886
2 | 958, 2886 |
479, 1443 |
∴ So the GCF of the given numbers is 2 = 2
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1014013/2
Therefore the LCM of Fractions 1001/958,1013/2886 is 1014013/2
Factors of 958
List of positive integer factors of 958 that divides 958 without a remainder.
1,2,479,958
Factors of 2886
List of positive integer factors of 2886 that divides 2886 without a remainder.
1,2,3,6,13,26,37,39,74,78,111,222,481,962,1443,2886
Greatest Common Factor
We found the factors 958,2886 . The biggest common factor number is the GCF number.
So the greatest common factor 958,2886 is 2.
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 1001/958, 1013/2886?
Answer: LCM of Numerators as per given numbers 1001/958, 1013/2886 is
LCM of Numerators i.e. for 1001,1013 is 1014013
GCF of denominators i.e. for 958,2886 is 2.
Thus, LCM of Fractions is 1014013/2.Finally, LCM of Fractions for 1001/958, 1013/2886 is 1014013/2.