Least Common Multiple of 34/73, 42/48, 819/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 34/73, 42/48, 819/820 quickly i.e. 27846 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 34/73, 42/48, 819/820 is 27846.

LCM(34/73, 42/48, 819/820) = 27846

LCM of 34/73, 42/48, 819/820

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 34/73,42/48,819/820

Given numbers are 34/73,42/48,819/820

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 34,42,819

Least Common Multiple of Numerators i.e. LCM of 34,42,819 is 27846.

GCF of Denominators means GCF of 73,48,820 as per the given fractions.

GCF of 73,48,820 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 34,42,819

LCM of Fractions 34/73,42/48,819/820 is 27846

2 34, 42, 819
3 17, 21, 819
7 17, 7, 273
17, 1, 39

∴ So the LCM of the given numbers is 2 x 3 x 7 x 17 x 1 x 39 = 27846

Least Common Multiple of 34,42,819 with GCF Formula

Least Common Multiple of 34,42,819 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 34,42,819 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,42,819) = 1

common factors(in case of two or more numbers have common factors) = 42

GCF(34,42,819) x common factors =1 x 42 = 42

LCM(34,42,819) = ( 34 × 42 × 819 ) / 42

LCM(34,42,819) = 1169532 / 42

LCM(34,42,819) = 27846


Lets's calculate GCF of 73,48,820

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27846/1

Therefore the LCM of Fractions 34/73,42/48,819/820 is 27846

Greatest Common Factor of 73,48,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,48,820 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

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 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 73,48,820 . The biggest common factor number is the GCF number.
So the greatest common factor 73,48,820 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 34/73, 42/48, 819/820

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 34/73, 42/48, 819/820?

Answer: LCM of Numerators as per given numbers 34/73, 42/48, 819/820 is

LCM of Numerators i.e. for 34,42,819 is 27846

GCF of denominators i.e. for 73,48,820 is 1.

Thus, LCM of Fractions is 27846.Finally, LCM of Fractions for 34/73, 42/48, 819/820 is 27846.