Least Common Multiple of 32/189, 78/493, 727/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 32/189, 78/493, 727/313 quickly i.e. 907296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 32/189, 78/493, 727/313 is 907296.

LCM(32/189, 78/493, 727/313) = 907296

LCM of 32/189, 78/493, 727/313

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 32/189,78/493,727/313

Given numbers are 32/189,78/493,727/313

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 32,78,727

Least Common Multiple of Numerators i.e. LCM of 32,78,727 is 907296.

GCF of Denominators means GCF of 189,493,313 as per the given fractions.

GCF of 189,493,313 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 32,78,727

LCM of Fractions 32/189,78/493,727/313 is 907296

2 32, 78, 727
16, 39, 727

∴ So the LCM of the given numbers is 2 x 16 x 39 x 727 = 907296

Least Common Multiple of 32,78,727 with GCF Formula

Least Common Multiple of 32,78,727 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 32,78,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,78,727) = 1

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

GCF(32,78,727) x common factors =1 x 2 = 2

LCM(32,78,727) = ( 32 × 78 × 727 ) / 2

LCM(32,78,727) = 1814592 / 2

LCM(32,78,727) = 907296


Lets's calculate GCF of 189,493,313

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 907296/1

Therefore the LCM of Fractions 32/189,78/493,727/313 is 907296

Greatest Common Factor of 189,493,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 189,493,313 By Matching Biggest Common Factor Method

Factors of 189

List of positive integer factors of 189 that divides 189 without a remainder.

1,3,7,9,21,27,63,189

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Factors of 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 189,493,313 . The biggest common factor number is the GCF number.
So the greatest common factor 189,493,313 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 32/189, 78/493, 727/313

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 32/189, 78/493, 727/313?

Answer: LCM of Numerators as per given numbers 32/189, 78/493, 727/313 is

LCM of Numerators i.e. for 32,78,727 is 907296

GCF of denominators i.e. for 189,493,313 is 1.

Thus, LCM of Fractions is 907296.Finally, LCM of Fractions for 32/189, 78/493, 727/313 is 907296.