Least Common Multiple of 289/287, 9997/543

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/287, 9997/543 quickly i.e. 2889133 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/287, 9997/543 is 2889133.

LCM(289/287, 9997/543) = 2889133

LCM of 289/287, 9997/543

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 289/287,9997/543

Given numbers are 289/287,9997/543

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 289,9997

Least Common Multiple of Numerators i.e. LCM of 289,9997 is 2889133.

GCF of Denominators means GCF of 287,543 as per the given fractions.

GCF of 287,543 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,9997

LCM of Fractions 289/287,9997/543 is 2889133

Given numbers has no common factors except 1. So, there LCM is their product i.e 2889133

Least Common Multiple of 289,9997 with GCF Formula

Least Common Multiple of 289,9997 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 289,9997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,9997) = 1

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

GCF(289,9997) x common factors =1 x 1 = 1

LCM(289,9997) = ( 289 × 9997 ) / 1

LCM(289,9997) = 2889133 / 1

LCM(289,9997) = 2889133


Lets's calculate GCF of 287,543

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2889133/1

Therefore the LCM of Fractions 289/287,9997/543 is 2889133

Greatest Common Factor of 287,543 By Matching Biggest Common Factor Method

Greatest Common Factor of 287,543 By Matching Biggest Common Factor Method

Factors of 287

List of positive integer factors of 287 that divides 287 without a remainder.

1,7,41,287

Factors of 543

List of positive integer factors of 543 that divides 543 without a remainder.

1,3,181,543

Greatest Common Factor

We found the factors 287,543 . The biggest common factor number is the GCF number.
So the greatest common factor 287,543 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 289/287, 9997/543

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 289/287, 9997/543?

Answer: LCM of Numerators as per given numbers 289/287, 9997/543 is

LCM of Numerators i.e. for 289,9997 is 2889133

GCF of denominators i.e. for 287,543 is 1.

Thus, LCM of Fractions is 2889133.Finally, LCM of Fractions for 289/287, 9997/543 is 2889133.