Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/696, 8533/2633 quickly i.e. 264523 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/696, 8533/2633 is 264523.
LCM(31/696, 8533/2633) = 264523
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/696,8533/2633
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 31,8533
Least Common Multiple of Numerators i.e. LCM of 31,8533 is 264523.
GCF of Denominators means GCF of 696,2633 as per the given fractions.
GCF of 696,2633 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,8533
Given numbers has no common factors except 1. So, there LCM is their product i.e 264523
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 31,8533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,8533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,8533) x common factors =1 x 1 = 1
LCM(31,8533) = ( 31 × 8533 ) / 1
LCM(31,8533) = 264523 / 1
LCM(31,8533) = 264523
Lets's calculate GCF of 696,2633
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 264523/1
Therefore the LCM of Fractions 31/696,8533/2633 is 264523
Factors of 696
List of positive integer factors of 696 that divides 696 without a remainder.
1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696
Factors of 2633
List of positive integer factors of 2633 that divides 2633 without a remainder.
1,2633
Greatest Common Factor
We found the factors 696,2633 . The biggest common factor number is the GCF number.
So the greatest common factor 696,2633 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 31/696, 8533/2633?
Answer: LCM of Numerators as per given numbers 31/696, 8533/2633 is
LCM of Numerators i.e. for 31,8533 is 264523
GCF of denominators i.e. for 696,2633 is 1.
Thus, LCM of Fractions is 264523.Finally, LCM of Fractions for 31/696, 8533/2633 is 264523.