Least Common Multiple of 6689/373, 8393/9344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6689/373, 8393/9344 quickly i.e. 56140777 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6689/373, 8393/9344 is 56140777.

LCM(6689/373, 8393/9344) = 56140777

LCM of 6689/373, 8393/9344

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 6689/373,8393/9344

Given numbers are 6689/373,8393/9344

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 6689,8393

Least Common Multiple of Numerators i.e. LCM of 6689,8393 is 56140777.

GCF of Denominators means GCF of 373,9344 as per the given fractions.

GCF of 373,9344 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6689,8393

LCM of Fractions 6689/373,8393/9344 is 56140777

Given numbers has no common factors except 1. So, there LCM is their product i.e 56140777

Least Common Multiple of 6689,8393 with GCF Formula

Least Common Multiple of 6689,8393 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 6689,8393 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6689,8393) = 1

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

GCF(6689,8393) x common factors =1 x 1 = 1

LCM(6689,8393) = ( 6689 × 8393 ) / 1

LCM(6689,8393) = 56140777 / 1

LCM(6689,8393) = 56140777


Lets's calculate GCF of 373,9344

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 56140777/1

Therefore the LCM of Fractions 6689/373,8393/9344 is 56140777

Greatest Common Factor of 373,9344 By Matching Biggest Common Factor Method

Greatest Common Factor of 373,9344 By Matching Biggest Common Factor Method

Factors of 373

List of positive integer factors of 373 that divides 373 without a remainder.

1,373

Factors of 9344

List of positive integer factors of 9344 that divides 9344 without a remainder.

1,2,4,8,16,32,64,73,128,146,292,584,1168,2336,4672,9344

Greatest Common Factor

We found the factors 373,9344 . The biggest common factor number is the GCF number.
So the greatest common factor 373,9344 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 6689/373, 8393/9344

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 6689/373, 8393/9344?

Answer: LCM of Numerators as per given numbers 6689/373, 8393/9344 is

LCM of Numerators i.e. for 6689,8393 is 56140777

GCF of denominators i.e. for 373,9344 is 1.

Thus, LCM of Fractions is 56140777.Finally, LCM of Fractions for 6689/373, 8393/9344 is 56140777.