Least Common Multiple of 27/640, 32/813, 274/886

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/640, 32/813, 274/886 quickly i.e. 118368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/640, 32/813, 274/886 is 118368.

LCM(27/640, 32/813, 274/886) = 118368

LCM of 27/640, 32/813, 274/886

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 27/640,32/813,274/886

Given numbers are 27/640,32/813,274/886

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 27,32,274

Least Common Multiple of Numerators i.e. LCM of 27,32,274 is 118368.

GCF of Denominators means GCF of 640,813,886 as per the given fractions.

GCF of 640,813,886 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,32,274

LCM of Fractions 27/640,32/813,274/886 is 118368

2 27, 32, 274
27, 16, 137

∴ So the LCM of the given numbers is 2 x 27 x 16 x 137 = 118368

Least Common Multiple of 27,32,274 with GCF Formula

Least Common Multiple of 27,32,274 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 27,32,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,32,274) = 1

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

GCF(27,32,274) x common factors =1 x 2 = 2

LCM(27,32,274) = ( 27 × 32 × 274 ) / 2

LCM(27,32,274) = 236736 / 2

LCM(27,32,274) = 118368


Lets's calculate GCF of 640,813,886

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 118368/1

Therefore the LCM of Fractions 27/640,32/813,274/886 is 118368

Greatest Common Factor of 640,813,886 By Matching Biggest Common Factor Method

Greatest Common Factor of 640,813,886 By Matching Biggest Common Factor Method

Factors of 640

List of positive integer factors of 640 that divides 640 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,320,640

Factors of 813

List of positive integer factors of 813 that divides 813 without a remainder.

1,3,271,813

Factors of 886

List of positive integer factors of 886 that divides 886 without a remainder.

1,2,443,886

Greatest Common Factor

We found the factors 640,813,886 . The biggest common factor number is the GCF number.
So the greatest common factor 640,813,886 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 27/640, 32/813, 274/886

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 27/640, 32/813, 274/886?

Answer: LCM of Numerators as per given numbers 27/640, 32/813, 274/886 is

LCM of Numerators i.e. for 27,32,274 is 118368

GCF of denominators i.e. for 640,813,886 is 1.

Thus, LCM of Fractions is 118368.Finally, LCM of Fractions for 27/640, 32/813, 274/886 is 118368.