Least Common Multiple of 29/819, 59/820, 384/119

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/819, 59/820, 384/119 quickly i.e. 657024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/819, 59/820, 384/119 is 657024.

LCM(29/819, 59/820, 384/119) = 657024

LCM of 29/819, 59/820, 384/119

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 29/819,59/820,384/119

Given numbers are 29/819,59/820,384/119

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 29,59,384

Least Common Multiple of Numerators i.e. LCM of 29,59,384 is 657024.

GCF of Denominators means GCF of 819,820,119 as per the given fractions.

GCF of 819,820,119 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,59,384

LCM of Fractions 29/819,59/820,384/119 is 657024

Given numbers has no common factors except 1. So, there LCM is their product i.e 657024

Least Common Multiple of 29,59,384 with GCF Formula

Least Common Multiple of 29,59,384 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 29,59,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,59,384) = 1

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

GCF(29,59,384) x common factors =1 x 1 = 1

LCM(29,59,384) = ( 29 × 59 × 384 ) / 1

LCM(29,59,384) = 657024 / 1

LCM(29,59,384) = 657024


Lets's calculate GCF of 819,820,119

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 657024/1

Therefore the LCM of Fractions 29/819,59/820,384/119 is 657024

Greatest Common Factor of 819,820,119 By Matching Biggest Common Factor Method

Greatest Common Factor of 819,820,119 By Matching Biggest Common Factor Method

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

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

Factors of 119

List of positive integer factors of 119 that divides 119 without a remainder.

1,7,17,119

Greatest Common Factor

We found the factors 819,820,119 . The biggest common factor number is the GCF number.
So the greatest common factor 819,820,119 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 29/819, 59/820, 384/119

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 29/819, 59/820, 384/119?

Answer: LCM of Numerators as per given numbers 29/819, 59/820, 384/119 is

LCM of Numerators i.e. for 29,59,384 is 657024

GCF of denominators i.e. for 819,820,119 is 1.

Thus, LCM of Fractions is 657024.Finally, LCM of Fractions for 29/819, 59/820, 384/119 is 657024.