Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/32, 85/55, 68/37, 31/993 quickly i.e. 10540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/32, 85/55, 68/37, 31/993 is 10540.
LCM(31/32, 85/55, 68/37, 31/993) = 10540
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/32,85/55,68/37,31/993
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 31,85,68,31
Least Common Multiple of Numerators i.e. LCM of 31,85,68,31 is 10540.
GCF of Denominators means GCF of 32,55,37,993 as per the given fractions.
GCF of 32,55,37,993 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,85,68,31
17 | 31, 85, 68, 31 |
31 | 31, 5, 4, 31 |
1, 5, 4, 1 |
∴ So the LCM of the given numbers is 17 x 31 x 1 x 5 x 4 x 1 = 10540
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 31,85,68,31 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,85,68,31) = 1
common factors(in case of two or more numbers have common factors) = 527
GCF(31,85,68,31) x common factors =1 x 527 = 527
LCM(31,85,68,31) = ( 31 × 85 × 68 × 31 ) / 527
LCM(31,85,68,31) = 5554580 / 527
LCM(31,85,68,31) = 10540
Lets's calculate GCF of 32,55,37,993
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10540/1
Therefore the LCM of Fractions 31/32,85/55,68/37,31/993 is 10540
Factors of 32
List of positive integer factors of 32 that divides 32 without a remainder.
1,2,4,8,16,32
Factors of 55
List of positive integer factors of 55 that divides 55 without a remainder.
1,5,11,55
Factors of 37
List of positive integer factors of 37 that divides 37 without a remainder.
1,37
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Greatest Common Factor
We found the factors 32,55,37,993 . The biggest common factor number is the GCF number.
So the greatest common factor 32,55,37,993 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 31/32, 85/55, 68/37, 31/993?
Answer: LCM of Numerators as per given numbers 31/32, 85/55, 68/37, 31/993 is
LCM of Numerators i.e. for 31,85,68,31 is 10540
GCF of denominators i.e. for 32,55,37,993 is 1.
Thus, LCM of Fractions is 10540.Finally, LCM of Fractions for 31/32, 85/55, 68/37, 31/993 is 10540.