Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Know Least Common Multiple of fractions 523/372, 3039/5982 quickly i.e. 1589397/6 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.
Least Common Multiple (LCM) of 523/372, 3039/5982 is 1589397/6.
LCM(523/372, 3039/5982) = 1589397/6
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given numbers are 523/372,3039/5982
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 523,3039
Least Common Multiple of Numerators i.e. LCM of 523,3039 is 1589397.
GCF of Denominators means GCF of 372,5982 as per the given fractions.
GCF of 372,5982 is 6 as it is the largest common factor for these numbers.
Lets's calculate LCM of 523,3039
Given numbers has no common factors except 1. So, there LCM is their product i.e 1589397
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 523,3039 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(523,3039) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(523,3039) x common factors =1 x 1 = 1
LCM(523,3039) = ( 523 × 3039 ) / 1
LCM(523,3039) = 1589397 / 1
LCM(523,3039) = 1589397
Lets's calculate GCF of 372,5982
2 | 372, 5982 |
3 | 186, 2991 |
62, 997 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1589397/6
Therefore the LCM of Fractions 523/372,3039/5982 is 1589397/6
Factors of 372
List of positive integer factors of 372 that divides 372 without a remainder.
1,2,3,4,6,12,31,62,93,124,186,372
Factors of 5982
List of positive integer factors of 5982 that divides 5982 without a remainder.
1,2,3,6,997,1994,2991,5982
Greatest Common Factor
We found the factors 372,5982 . The biggest common factor number is the GCF number.
So the greatest common factor 372,5982 is 6.
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 523/372, 3039/5982?
Answer: LCM of Numerators as per given numbers 523/372, 3039/5982 is
LCM of Numerators i.e. for 523,3039 is 1589397
GCF of denominators i.e. for 372,5982 is 6.
Thus, LCM of Fractions is 1589397/6.Finally, LCM of Fractions for 523/372, 3039/5982 is 1589397/6.