Least Common Multiple of 84/204, 12/672, 391/667

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 84/204, 12/672, 391/667 quickly i.e. 32844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 84/204, 12/672, 391/667 is 32844.

LCM(84/204, 12/672, 391/667) = 32844

LCM of 84/204, 12/672, 391/667

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 84/204,12/672,391/667

Given numbers are 84/204,12/672,391/667

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 84,12,391

Least Common Multiple of Numerators i.e. LCM of 84,12,391 is 32844.

GCF of Denominators means GCF of 204,672,667 as per the given fractions.

GCF of 204,672,667 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 84,12,391

LCM of Fractions 84/204,12/672,391/667 is 32844

2 84, 12, 391
2 42, 6, 391
3 21, 3, 391
7, 1, 391

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 1 x 391 = 32844

Least Common Multiple of 84,12,391 with GCF Formula

Least Common Multiple of 84,12,391 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 84,12,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,12,391) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(84,12,391) x common factors =1 x 12 = 12

LCM(84,12,391) = ( 84 × 12 × 391 ) / 12

LCM(84,12,391) = 394128 / 12

LCM(84,12,391) = 32844


Lets's calculate GCF of 204,672,667

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32844/1

Therefore the LCM of Fractions 84/204,12/672,391/667 is 32844

Greatest Common Factor of 204,672,667 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,672,667 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 672

List of positive integer factors of 672 that divides 672 without a remainder.

1,2,3,4,6,7,8,12,14,16,21,24,28,32,42,48,56,84,96,112,168,224,336,672

Factors of 667

List of positive integer factors of 667 that divides 667 without a remainder.

1,23,29,667

Greatest Common Factor

We found the factors 204,672,667 . The biggest common factor number is the GCF number.
So the greatest common factor 204,672,667 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 84/204, 12/672, 391/667

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 84/204, 12/672, 391/667?

Answer: LCM of Numerators as per given numbers 84/204, 12/672, 391/667 is

LCM of Numerators i.e. for 84,12,391 is 32844

GCF of denominators i.e. for 204,672,667 is 1.

Thus, LCM of Fractions is 32844.Finally, LCM of Fractions for 84/204, 12/672, 391/667 is 32844.