Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/993, 43/145, 533/737 quickly i.e. 710489 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/993, 43/145, 533/737 is 710489.
LCM(31/993, 43/145, 533/737) = 710489
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/993,43/145,533/737
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 31,43,533
Least Common Multiple of Numerators i.e. LCM of 31,43,533 is 710489.
GCF of Denominators means GCF of 993,145,737 as per the given fractions.
GCF of 993,145,737 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,43,533
Given numbers has no common factors except 1. So, there LCM is their product i.e 710489
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 31,43,533 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,43,533) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,43,533) x common factors =1 x 1 = 1
LCM(31,43,533) = ( 31 × 43 × 533 ) / 1
LCM(31,43,533) = 710489 / 1
LCM(31,43,533) = 710489
Lets's calculate GCF of 993,145,737
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 710489/1
Therefore the LCM of Fractions 31/993,43/145,533/737 is 710489
Factors of 993
List of positive integer factors of 993 that divides 993 without a remainder.
1,3,331,993
Factors of 145
List of positive integer factors of 145 that divides 145 without a remainder.
1,5,29,145
Factors of 737
List of positive integer factors of 737 that divides 737 without a remainder.
1,11,67,737
Greatest Common Factor
We found the factors 993,145,737 . The biggest common factor number is the GCF number.
So the greatest common factor 993,145,737 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 31/993, 43/145, 533/737?
Answer: LCM of Numerators as per given numbers 31/993, 43/145, 533/737 is
LCM of Numerators i.e. for 31,43,533 is 710489
GCF of denominators i.e. for 993,145,737 is 1.
Thus, LCM of Fractions is 710489.Finally, LCM of Fractions for 31/993, 43/145, 533/737 is 710489.