Least Common Multiple of 523/372, 3039/5982

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

LCM of 523/372, 3039/5982

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 523/372,3039/5982

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

LCM of Fractions 523/372,3039/5982 is 1589397/6

Given numbers has no common factors except 1. So, there LCM is their product i.e 1589397

Least Common Multiple of 523,3039 with GCF Formula

Least Common Multiple of 523,3039 with GCF Formula

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

Greatest Common Factor of 372,5982 By Matching Biggest Common Factor Method

Greatest Common Factor of 372,5982 By Matching Biggest Common Factor Method

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.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 523/372, 3039/5982

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.