Least Common Multiple of 589/683, 1539/7997

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 589/683, 1539/7997 quickly i.e. 47709 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 589/683, 1539/7997 is 47709.

LCM(589/683, 1539/7997) = 47709

LCM of 589/683, 1539/7997

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 589/683,1539/7997

Given numbers are 589/683,1539/7997

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 589,1539

Least Common Multiple of Numerators i.e. LCM of 589,1539 is 47709.

GCF of Denominators means GCF of 683,7997 as per the given fractions.

GCF of 683,7997 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 589,1539

LCM of Fractions 589/683,1539/7997 is 47709

19 589, 1539
31, 81

∴ So the LCM of the given numbers is 19 x 31 x 81 = 47709

Least Common Multiple of 589,1539 with GCF Formula

Least Common Multiple of 589,1539 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 589,1539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,1539) = 19

common factors(in case of two or more numbers have common factors) = 1

GCF(589,1539) x common factors =19 x 1 = 19

LCM(589,1539) = ( 589 × 1539 ) / 19

LCM(589,1539) = 906471 / 19

LCM(589,1539) = 47709


Lets's calculate GCF of 683,7997

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47709/1

Therefore the LCM of Fractions 589/683,1539/7997 is 47709

Greatest Common Factor of 683,7997 By Matching Biggest Common Factor Method

Greatest Common Factor of 683,7997 By Matching Biggest Common Factor Method

Factors of 683

List of positive integer factors of 683 that divides 683 without a remainder.

1,683

Factors of 7997

List of positive integer factors of 7997 that divides 7997 without a remainder.

1,11,727,7997

Greatest Common Factor

We found the factors 683,7997 . The biggest common factor number is the GCF number.
So the greatest common factor 683,7997 is 1.


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 589/683, 1539/7997

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 589/683, 1539/7997?

Answer: LCM of Numerators as per given numbers 589/683, 1539/7997 is

LCM of Numerators i.e. for 589,1539 is 47709

GCF of denominators i.e. for 683,7997 is 1.

Thus, LCM of Fractions is 47709.Finally, LCM of Fractions for 589/683, 1539/7997 is 47709.