Least Common Multiple of 72/406, 26/204, 667/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/406, 26/204, 667/384 quickly i.e. 312156 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/406, 26/204, 667/384 is 312156.

LCM(72/406, 26/204, 667/384) = 312156

LCM of 72/406, 26/204, 667/384

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 72/406,26/204,667/384

Given numbers are 72/406,26/204,667/384

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 72,26,667

Least Common Multiple of Numerators i.e. LCM of 72,26,667 is 624312.

GCF of Denominators means GCF of 406,204,384 as per the given fractions.

GCF of 406,204,384 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,26,667

LCM of Fractions 72/406,26/204,667/384 is 312156

2 72, 26, 667
36, 13, 667

∴ So the LCM of the given numbers is 2 x 36 x 13 x 667 = 624312

Least Common Multiple of 72,26,667 with GCF Formula

Least Common Multiple of 72,26,667 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 72,26,667 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,26,667) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(72,26,667) x common factors =1 x 2 = 2

LCM(72,26,667) = ( 72 × 26 × 667 ) / 2

LCM(72,26,667) = 1248624 / 2

LCM(72,26,667) = 624312


Lets's calculate GCF of 406,204,384

2 406, 204, 384
203, 102, 192

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 624312/2

Therefore the LCM of Fractions 72/406,26/204,667/384 is 312156

Greatest Common Factor of 406,204,384 By Matching Biggest Common Factor Method

Greatest Common Factor of 406,204,384 By Matching Biggest Common Factor Method

Factors of 406

List of positive integer factors of 406 that divides 406 without a remainder.

1,2,7,14,29,58,203,406

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 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Greatest Common Factor

We found the factors 406,204,384 . The biggest common factor number is the GCF number.
So the greatest common factor 406,204,384 is 2.


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 72/406, 26/204, 667/384

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 72/406, 26/204, 667/384?

Answer: LCM of Numerators as per given numbers 72/406, 26/204, 667/384 is

LCM of Numerators i.e. for 72,26,667 is 624312

GCF of denominators i.e. for 406,204,384 is 2.

Thus, LCM of Fractions is 312156.Finally, LCM of Fractions for 72/406, 26/204, 667/384 is 312156.