Least Common Multiple of 849/39, 2523/363

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 849/39, 2523/363 quickly i.e. 238003 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 849/39, 2523/363 is 238003.

LCM(849/39, 2523/363) = 238003

LCM of 849/39, 2523/363

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 849/39,2523/363

Given numbers are 849/39,2523/363

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 849,2523

Least Common Multiple of Numerators i.e. LCM of 849,2523 is 714009.

GCF of Denominators means GCF of 39,363 as per the given fractions.

GCF of 39,363 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 849,2523

LCM of Fractions 849/39,2523/363 is 238003

3 849, 2523
283, 841

∴ So the LCM of the given numbers is 3 x 283 x 841 = 714009

Least Common Multiple of 849,2523 with GCF Formula

Least Common Multiple of 849,2523 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 849,2523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,2523) = 3

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

GCF(849,2523) x common factors =3 x 1 = 3

LCM(849,2523) = ( 849 × 2523 ) / 3

LCM(849,2523) = 2142027 / 3

LCM(849,2523) = 714009


Lets's calculate GCF of 39,363

3 39, 363
13, 121

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 714009/3

Therefore the LCM of Fractions 849/39,2523/363 is 238003

Greatest Common Factor of 39,363 By Matching Biggest Common Factor Method

Greatest Common Factor of 39,363 By Matching Biggest Common Factor Method

Factors of 39

List of positive integer factors of 39 that divides 39 without a remainder.

1,3,13,39

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Greatest Common Factor

We found the factors 39,363 . The biggest common factor number is the GCF number.
So the greatest common factor 39,363 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 849/39, 2523/363

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 849/39, 2523/363?

Answer: LCM of Numerators as per given numbers 849/39, 2523/363 is

LCM of Numerators i.e. for 849,2523 is 714009

GCF of denominators i.e. for 39,363 is 3.

Thus, LCM of Fractions is 238003.Finally, LCM of Fractions for 849/39, 2523/363 is 238003.