Least Common Multiple of 6687/327, 9973/4592

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 6687/327, 9973/4592 quickly i.e. 66689451 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6687/327, 9973/4592 is 66689451.

LCM(6687/327, 9973/4592) = 66689451

LCM of 6687/327, 9973/4592

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 6687/327,9973/4592

Given numbers are 6687/327,9973/4592

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 6687,9973

Least Common Multiple of Numerators i.e. LCM of 6687,9973 is 66689451.

GCF of Denominators means GCF of 327,4592 as per the given fractions.

GCF of 327,4592 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6687,9973

LCM of Fractions 6687/327,9973/4592 is 66689451

Given numbers has no common factors except 1. So, there LCM is their product i.e 66689451

Least Common Multiple of 6687,9973 with GCF Formula

Least Common Multiple of 6687,9973 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 6687,9973 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6687,9973) = 1

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

GCF(6687,9973) x common factors =1 x 1 = 1

LCM(6687,9973) = ( 6687 × 9973 ) / 1

LCM(6687,9973) = 66689451 / 1

LCM(6687,9973) = 66689451


Lets's calculate GCF of 327,4592

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 66689451/1

Therefore the LCM of Fractions 6687/327,9973/4592 is 66689451

Greatest Common Factor of 327,4592 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,4592 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 4592

List of positive integer factors of 4592 that divides 4592 without a remainder.

1,2,4,7,8,14,16,28,41,56,82,112,164,287,328,574,656,1148,2296,4592

Greatest Common Factor

We found the factors 327,4592 . The biggest common factor number is the GCF number.
So the greatest common factor 327,4592 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 6687/327, 9973/4592

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 6687/327, 9973/4592?

Answer: LCM of Numerators as per given numbers 6687/327, 9973/4592 is

LCM of Numerators i.e. for 6687,9973 is 66689451

GCF of denominators i.e. for 327,4592 is 1.

Thus, LCM of Fractions is 66689451.Finally, LCM of Fractions for 6687/327, 9973/4592 is 66689451.