Least Common Multiple of 32/735, 27/852, 709/627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/735, 27/852, 709/627 quickly i.e. 204192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/735, 27/852, 709/627 is 204192.

LCM(32/735, 27/852, 709/627) = 204192

LCM of 32/735, 27/852, 709/627

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 32/735,27/852,709/627

Given numbers are 32/735,27/852,709/627

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 32,27,709

Least Common Multiple of Numerators i.e. LCM of 32,27,709 is 612576.

GCF of Denominators means GCF of 735,852,627 as per the given fractions.

GCF of 735,852,627 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,27,709

LCM of Fractions 32/735,27/852,709/627 is 204192

Given numbers has no common factors except 1. So, there LCM is their product i.e 612576

Least Common Multiple of 32,27,709 with GCF Formula

Least Common Multiple of 32,27,709 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 32,27,709 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,27,709) = 1

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

GCF(32,27,709) x common factors =1 x 1 = 1

LCM(32,27,709) = ( 32 × 27 × 709 ) / 1

LCM(32,27,709) = 612576 / 1

LCM(32,27,709) = 612576


Lets's calculate GCF of 735,852,627

3 735, 852, 627
245, 284, 209

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 612576/3

Therefore the LCM of Fractions 32/735,27/852,709/627 is 204192

Greatest Common Factor of 735,852,627 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,852,627 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 852

List of positive integer factors of 852 that divides 852 without a remainder.

1,2,3,4,6,12,71,142,213,284,426,852

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 735,852,627 . The biggest common factor number is the GCF number.
So the greatest common factor 735,852,627 is 3.


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 32/735, 27/852, 709/627

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 32/735, 27/852, 709/627?

Answer: LCM of Numerators as per given numbers 32/735, 27/852, 709/627 is

LCM of Numerators i.e. for 32,27,709 is 612576

GCF of denominators i.e. for 735,852,627 is 3.

Thus, LCM of Fractions is 204192.Finally, LCM of Fractions for 32/735, 27/852, 709/627 is 204192.