Least Common Multiple of 289/17, 687/6249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 289/17, 687/6249 quickly i.e. 198543 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 289/17, 687/6249 is 198543.

LCM(289/17, 687/6249) = 198543

LCM of 289/17, 687/6249

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 289/17,687/6249

Given numbers are 289/17,687/6249

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 289,687

Least Common Multiple of Numerators i.e. LCM of 289,687 is 198543.

GCF of Denominators means GCF of 17,6249 as per the given fractions.

GCF of 17,6249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 289,687

LCM of Fractions 289/17,687/6249 is 198543

Given numbers has no common factors except 1. So, there LCM is their product i.e 198543

Least Common Multiple of 289,687 with GCF Formula

Least Common Multiple of 289,687 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 289,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,687) = 1

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

GCF(289,687) x common factors =1 x 1 = 1

LCM(289,687) = ( 289 × 687 ) / 1

LCM(289,687) = 198543 / 1

LCM(289,687) = 198543


Lets's calculate GCF of 17,6249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 198543/1

Therefore the LCM of Fractions 289/17,687/6249 is 198543

Greatest Common Factor of 17,6249 By Matching Biggest Common Factor Method

Greatest Common Factor of 17,6249 By Matching Biggest Common Factor Method

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

Factors of 6249

List of positive integer factors of 6249 that divides 6249 without a remainder.

1,3,2083,6249

Greatest Common Factor

We found the factors 17,6249 . The biggest common factor number is the GCF number.
So the greatest common factor 17,6249 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 289/17, 687/6249

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 289/17, 687/6249?

Answer: LCM of Numerators as per given numbers 289/17, 687/6249 is

LCM of Numerators i.e. for 289,687 is 198543

GCF of denominators i.e. for 17,6249 is 1.

Thus, LCM of Fractions is 198543.Finally, LCM of Fractions for 289/17, 687/6249 is 198543.