Least Common Multiple of 28/67, 82/65, 171/738

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 28/67, 82/65, 171/738 quickly i.e. 196308 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 28/67, 82/65, 171/738 is 196308.

LCM(28/67, 82/65, 171/738) = 196308

LCM of 28/67, 82/65, 171/738

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 28/67,82/65,171/738

Given numbers are 28/67,82/65,171/738

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 28,82,171

Least Common Multiple of Numerators i.e. LCM of 28,82,171 is 196308.

GCF of Denominators means GCF of 67,65,738 as per the given fractions.

GCF of 67,65,738 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 28,82,171

LCM of Fractions 28/67,82/65,171/738 is 196308

2 28, 82, 171
14, 41, 171

∴ So the LCM of the given numbers is 2 x 14 x 41 x 171 = 196308

Least Common Multiple of 28,82,171 with GCF Formula

Least Common Multiple of 28,82,171 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 28,82,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,82,171) = 1

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

GCF(28,82,171) x common factors =1 x 2 = 2

LCM(28,82,171) = ( 28 × 82 × 171 ) / 2

LCM(28,82,171) = 392616 / 2

LCM(28,82,171) = 196308


Lets's calculate GCF of 67,65,738

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 196308/1

Therefore the LCM of Fractions 28/67,82/65,171/738 is 196308

Greatest Common Factor of 67,65,738 By Matching Biggest Common Factor Method

Greatest Common Factor of 67,65,738 By Matching Biggest Common Factor Method

Factors of 67

List of positive integer factors of 67 that divides 67 without a remainder.

1,67

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 738

List of positive integer factors of 738 that divides 738 without a remainder.

1,2,3,6,9,18,41,82,123,246,369,738

Greatest Common Factor

We found the factors 67,65,738 . The biggest common factor number is the GCF number.
So the greatest common factor 67,65,738 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 28/67, 82/65, 171/738

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 28/67, 82/65, 171/738?

Answer: LCM of Numerators as per given numbers 28/67, 82/65, 171/738 is

LCM of Numerators i.e. for 28,82,171 is 196308

GCF of denominators i.e. for 67,65,738 is 1.

Thus, LCM of Fractions is 196308.Finally, LCM of Fractions for 28/67, 82/65, 171/738 is 196308.