Least Common Multiple of 814/27, 353/48, 819/852

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 814/27, 353/48, 819/852 quickly i.e. 78444366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 814/27, 353/48, 819/852 is 78444366.

LCM(814/27, 353/48, 819/852) = 78444366

LCM of 814/27, 353/48, 819/852

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 814/27,353/48,819/852

Given numbers are 814/27,353/48,819/852

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 814,353,819

Least Common Multiple of Numerators i.e. LCM of 814,353,819 is 235333098.

GCF of Denominators means GCF of 27,48,852 as per the given fractions.

GCF of 27,48,852 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 814,353,819

LCM of Fractions 814/27,353/48,819/852 is 78444366

Given numbers has no common factors except 1. So, there LCM is their product i.e 235333098

Least Common Multiple of 814,353,819 with GCF Formula

Least Common Multiple of 814,353,819 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 814,353,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(814,353,819) = 1

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

GCF(814,353,819) x common factors =1 x 1 = 1

LCM(814,353,819) = ( 814 × 353 × 819 ) / 1

LCM(814,353,819) = 235333098 / 1

LCM(814,353,819) = 235333098


Lets's calculate GCF of 27,48,852

3 27, 48, 852
9, 16, 284

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 235333098/3

Therefore the LCM of Fractions 814/27,353/48,819/852 is 78444366

Greatest Common Factor of 27,48,852 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,48,852 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

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

Greatest Common Factor

We found the factors 27,48,852 . The biggest common factor number is the GCF number.
So the greatest common factor 27,48,852 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 814/27, 353/48, 819/852

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 814/27, 353/48, 819/852?

Answer: LCM of Numerators as per given numbers 814/27, 353/48, 819/852 is

LCM of Numerators i.e. for 814,353,819 is 235333098

GCF of denominators i.e. for 27,48,852 is 3.

Thus, LCM of Fractions is 78444366.Finally, LCM of Fractions for 814/27, 353/48, 819/852 is 78444366.