Least Common Multiple of 38/20, 78/249, 583/809

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/20, 78/249, 583/809 quickly i.e. 864006 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/20, 78/249, 583/809 is 864006.

LCM(38/20, 78/249, 583/809) = 864006

LCM of 38/20, 78/249, 583/809

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 38/20,78/249,583/809

Given numbers are 38/20,78/249,583/809

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 38,78,583

Least Common Multiple of Numerators i.e. LCM of 38,78,583 is 864006.

GCF of Denominators means GCF of 20,249,809 as per the given fractions.

GCF of 20,249,809 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,78,583

LCM of Fractions 38/20,78/249,583/809 is 864006

2 38, 78, 583
19, 39, 583

∴ So the LCM of the given numbers is 2 x 19 x 39 x 583 = 864006

Least Common Multiple of 38,78,583 with GCF Formula

Least Common Multiple of 38,78,583 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 38,78,583 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,78,583) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(38,78,583) x common factors =1 x 2 = 2

LCM(38,78,583) = ( 38 × 78 × 583 ) / 2

LCM(38,78,583) = 1728012 / 2

LCM(38,78,583) = 864006


Lets's calculate GCF of 20,249,809

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 864006/1

Therefore the LCM of Fractions 38/20,78/249,583/809 is 864006

Greatest Common Factor of 20,249,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,249,809 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 249

List of positive integer factors of 249 that divides 249 without a remainder.

1,3,83,249

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 20,249,809 . The biggest common factor number is the GCF number.
So the greatest common factor 20,249,809 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 38/20, 78/249, 583/809

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 38/20, 78/249, 583/809?

Answer: LCM of Numerators as per given numbers 38/20, 78/249, 583/809 is

LCM of Numerators i.e. for 38,78,583 is 864006

GCF of denominators i.e. for 20,249,809 is 1.

Thus, LCM of Fractions is 864006.Finally, LCM of Fractions for 38/20, 78/249, 583/809 is 864006.