Least Common Multiple of 27/171, 111/506, 804/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/171, 111/506, 804/458 quickly i.e. 267732 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/171, 111/506, 804/458 is 267732.

LCM(27/171, 111/506, 804/458) = 267732

LCM of 27/171, 111/506, 804/458

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 27/171,111/506,804/458

Given numbers are 27/171,111/506,804/458

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 27,111,804

Least Common Multiple of Numerators i.e. LCM of 27,111,804 is 267732.

GCF of Denominators means GCF of 171,506,458 as per the given fractions.

GCF of 171,506,458 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,111,804

LCM of Fractions 27/171,111/506,804/458 is 267732

3 27, 111, 804
9, 37, 268

∴ So the LCM of the given numbers is 3 x 9 x 37 x 268 = 267732

Least Common Multiple of 27,111,804 with GCF Formula

Least Common Multiple of 27,111,804 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 27,111,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,111,804) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(27,111,804) x common factors =3 x 3 = 9

LCM(27,111,804) = ( 27 × 111 × 804 ) / 9

LCM(27,111,804) = 2409588 / 9

LCM(27,111,804) = 267732


Lets's calculate GCF of 171,506,458

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 267732/1

Therefore the LCM of Fractions 27/171,111/506,804/458 is 267732

Greatest Common Factor of 171,506,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 171,506,458 By Matching Biggest Common Factor Method

Factors of 171

List of positive integer factors of 171 that divides 171 without a remainder.

1,3,9,19,57,171

Factors of 506

List of positive integer factors of 506 that divides 506 without a remainder.

1,2,11,22,23,46,253,506

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 171,506,458 . The biggest common factor number is the GCF number.
So the greatest common factor 171,506,458 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 27/171, 111/506, 804/458

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 27/171, 111/506, 804/458?

Answer: LCM of Numerators as per given numbers 27/171, 111/506, 804/458 is

LCM of Numerators i.e. for 27,111,804 is 267732

GCF of denominators i.e. for 171,506,458 is 1.

Thus, LCM of Fractions is 267732.Finally, LCM of Fractions for 27/171, 111/506, 804/458 is 267732.