Least Common Multiple of 27/801, 42/685, 819/134

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 27/801, 42/685, 819/134 quickly i.e. 4914 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 27/801, 42/685, 819/134 is 4914.

LCM(27/801, 42/685, 819/134) = 4914

LCM of 27/801, 42/685, 819/134

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 27/801,42/685,819/134

Given numbers are 27/801,42/685,819/134

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 27,42,819

Least Common Multiple of Numerators i.e. LCM of 27,42,819 is 4914.

GCF of Denominators means GCF of 801,685,134 as per the given fractions.

GCF of 801,685,134 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 27,42,819

LCM of Fractions 27/801,42/685,819/134 is 4914

3 27, 42, 819
3 9, 14, 273
7 3, 14, 91
3, 2, 13

∴ So the LCM of the given numbers is 3 x 3 x 7 x 3 x 2 x 13 = 4914

Least Common Multiple of 27,42,819 with GCF Formula

Least Common Multiple of 27,42,819 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 27,42,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,42,819) = 3

common factors(in case of two or more numbers have common factors) = 63

GCF(27,42,819) x common factors =3 x 63 = 189

LCM(27,42,819) = ( 27 × 42 × 819 ) / 189

LCM(27,42,819) = 928746 / 189

LCM(27,42,819) = 4914


Lets's calculate GCF of 801,685,134

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4914/1

Therefore the LCM of Fractions 27/801,42/685,819/134 is 4914

Greatest Common Factor of 801,685,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,685,134 By Matching Biggest Common Factor Method

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 685

List of positive integer factors of 685 that divides 685 without a remainder.

1,5,137,685

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 801,685,134 . The biggest common factor number is the GCF number.
So the greatest common factor 801,685,134 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 27/801, 42/685, 819/134

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 27/801, 42/685, 819/134?

Answer: LCM of Numerators as per given numbers 27/801, 42/685, 819/134 is

LCM of Numerators i.e. for 27,42,819 is 4914

GCF of denominators i.e. for 801,685,134 is 1.

Thus, LCM of Fractions is 4914.Finally, LCM of Fractions for 27/801, 42/685, 819/134 is 4914.