Least Common Multiple of 821/38, 289/2938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 821/38, 289/2938 quickly i.e. 237269/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 821/38, 289/2938 is 237269/2.

LCM(821/38, 289/2938) = 237269/2

LCM of 821/38, 289/2938

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 821/38,289/2938

Given numbers are 821/38,289/2938

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 821,289

Least Common Multiple of Numerators i.e. LCM of 821,289 is 237269.

GCF of Denominators means GCF of 38,2938 as per the given fractions.

GCF of 38,2938 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 821,289

LCM of Fractions 821/38,289/2938 is 237269/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 237269

Least Common Multiple of 821,289 with GCF Formula

Least Common Multiple of 821,289 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 821,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(821,289) = 1

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

GCF(821,289) x common factors =1 x 1 = 1

LCM(821,289) = ( 821 × 289 ) / 1

LCM(821,289) = 237269 / 1

LCM(821,289) = 237269


Lets's calculate GCF of 38,2938

2 38, 2938
19, 1469

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 237269/2

Therefore the LCM of Fractions 821/38,289/2938 is 237269/2

Greatest Common Factor of 38,2938 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,2938 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 2938

List of positive integer factors of 2938 that divides 2938 without a remainder.

1,2,13,26,113,226,1469,2938

Greatest Common Factor

We found the factors 38,2938 . The biggest common factor number is the GCF number.
So the greatest common factor 38,2938 is 2.


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 821/38, 289/2938

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 821/38, 289/2938?

Answer: LCM of Numerators as per given numbers 821/38, 289/2938 is

LCM of Numerators i.e. for 821,289 is 237269

GCF of denominators i.e. for 38,2938 is 2.

Thus, LCM of Fractions is 237269/2.Finally, LCM of Fractions for 821/38, 289/2938 is 237269/2.