Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 31/739, 1609/1062 quickly i.e. 49879 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 31/739, 1609/1062 is 49879.
LCM(31/739, 1609/1062) = 49879
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 31/739,1609/1062
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 31,1609
Least Common Multiple of Numerators i.e. LCM of 31,1609 is 49879.
GCF of Denominators means GCF of 739,1062 as per the given fractions.
GCF of 739,1062 is 1 as it is the largest common factor for these numbers.
Lets's calculate LCM of 31,1609
Given numbers has no common factors except 1. So, there LCM is their product i.e 49879
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 31,1609 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(31,1609) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(31,1609) x common factors =1 x 1 = 1
LCM(31,1609) = ( 31 × 1609 ) / 1
LCM(31,1609) = 49879 / 1
LCM(31,1609) = 49879
Lets's calculate GCF of 739,1062
∴ So GCF of numbers is 1 because of no common factors present between them.
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 49879/1
Therefore the LCM of Fractions 31/739,1609/1062 is 49879
Factors of 739
List of positive integer factors of 739 that divides 739 without a remainder.
1,739
Factors of 1062
List of positive integer factors of 1062 that divides 1062 without a remainder.
1,2,3,6,9,18,59,118,177,354,531,1062
Greatest Common Factor
We found the factors 739,1062 . The biggest common factor number is the GCF number.
So the greatest common factor 739,1062 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 31/739, 1609/1062?
Answer: LCM of Numerators as per given numbers 31/739, 1609/1062 is
LCM of Numerators i.e. for 31,1609 is 49879
GCF of denominators i.e. for 739,1062 is 1.
Thus, LCM of Fractions is 49879.Finally, LCM of Fractions for 31/739, 1609/1062 is 49879.