Least Common Multiple of 27/39, 47/32, 896/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/39, 47/32, 896/385 quickly i.e. 1137024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/39, 47/32, 896/385 is 1137024.

LCM(27/39, 47/32, 896/385) = 1137024

LCM of 27/39, 47/32, 896/385

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 27/39,47/32,896/385

Given numbers are 27/39,47/32,896/385

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 27,47,896

Least Common Multiple of Numerators i.e. LCM of 27,47,896 is 1137024.

GCF of Denominators means GCF of 39,32,385 as per the given fractions.

GCF of 39,32,385 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,47,896

LCM of Fractions 27/39,47/32,896/385 is 1137024

Given numbers has no common factors except 1. So, there LCM is their product i.e 1137024

Least Common Multiple of 27,47,896 with GCF Formula

Least Common Multiple of 27,47,896 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 27,47,896 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,47,896) = 1

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

GCF(27,47,896) x common factors =1 x 1 = 1

LCM(27,47,896) = ( 27 × 47 × 896 ) / 1

LCM(27,47,896) = 1137024 / 1

LCM(27,47,896) = 1137024


Lets's calculate GCF of 39,32,385

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1137024/1

Therefore the LCM of Fractions 27/39,47/32,896/385 is 1137024

Greatest Common Factor of 39,32,385 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,32,385 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 32

List of positive integer factors of 32 that divides 32 without a remainder.

1,2,4,8,16,32

Factors of 385

List of positive integer factors of 385 that divides 385 without a remainder.

1,5,7,11,35,55,77,385

Greatest Common Factor

We found the factors 39,32,385 . The biggest common factor number is the GCF number.
So the greatest common factor 39,32,385 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 27/39, 47/32, 896/385

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 27/39, 47/32, 896/385?

Answer: LCM of Numerators as per given numbers 27/39, 47/32, 896/385 is

LCM of Numerators i.e. for 27,47,896 is 1137024

GCF of denominators i.e. for 39,32,385 is 1.

Thus, LCM of Fractions is 1137024.Finally, LCM of Fractions for 27/39, 47/32, 896/385 is 1137024.