Least Common Multiple of 6943/317, 6600/3794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6943/317, 6600/3794 quickly i.e. 45823800 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6943/317, 6600/3794 is 45823800.

LCM(6943/317, 6600/3794) = 45823800

LCM of 6943/317, 6600/3794

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 6943/317,6600/3794

Given numbers are 6943/317,6600/3794

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 6943,6600

Least Common Multiple of Numerators i.e. LCM of 6943,6600 is 45823800.

GCF of Denominators means GCF of 317,3794 as per the given fractions.

GCF of 317,3794 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6943,6600

LCM of Fractions 6943/317,6600/3794 is 45823800

Given numbers has no common factors except 1. So, there LCM is their product i.e 45823800

Least Common Multiple of 6943,6600 with GCF Formula

Least Common Multiple of 6943,6600 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 6943,6600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6943,6600) = 1

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

GCF(6943,6600) x common factors =1 x 1 = 1

LCM(6943,6600) = ( 6943 × 6600 ) / 1

LCM(6943,6600) = 45823800 / 1

LCM(6943,6600) = 45823800


Lets's calculate GCF of 317,3794

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 45823800/1

Therefore the LCM of Fractions 6943/317,6600/3794 is 45823800

Greatest Common Factor of 317,3794 By Matching Biggest Common Factor Method

Greatest Common Factor of 317,3794 By Matching Biggest Common Factor Method

Factors of 317

List of positive integer factors of 317 that divides 317 without a remainder.

1,317

Factors of 3794

List of positive integer factors of 3794 that divides 3794 without a remainder.

1,2,7,14,271,542,1897,3794

Greatest Common Factor

We found the factors 317,3794 . The biggest common factor number is the GCF number.
So the greatest common factor 317,3794 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6943/317, 6600/3794

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 6943/317, 6600/3794?

Answer: LCM of Numerators as per given numbers 6943/317, 6600/3794 is

LCM of Numerators i.e. for 6943,6600 is 45823800

GCF of denominators i.e. for 317,3794 is 1.

Thus, LCM of Fractions is 45823800.Finally, LCM of Fractions for 6943/317, 6600/3794 is 45823800.