Least Common Multiple of 39/307, 96/802, 234/249

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 39/307, 96/802, 234/249 quickly i.e. 3744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 39/307, 96/802, 234/249 is 3744.

LCM(39/307, 96/802, 234/249) = 3744

LCM of 39/307, 96/802, 234/249

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 39/307,96/802,234/249

Given numbers are 39/307,96/802,234/249

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 39,96,234

Least Common Multiple of Numerators i.e. LCM of 39,96,234 is 3744.

GCF of Denominators means GCF of 307,802,249 as per the given fractions.

GCF of 307,802,249 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 39,96,234

LCM of Fractions 39/307,96/802,234/249 is 3744

2 39, 96, 234
3 39, 48, 117
13 13, 16, 39
1, 16, 3

∴ So the LCM of the given numbers is 2 x 3 x 13 x 1 x 16 x 3 = 3744

Least Common Multiple of 39,96,234 with GCF Formula

Least Common Multiple of 39,96,234 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 39,96,234 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,96,234) = 3

common factors(in case of two or more numbers have common factors) = 78

GCF(39,96,234) x common factors =3 x 78 = 234

LCM(39,96,234) = ( 39 × 96 × 234 ) / 234

LCM(39,96,234) = 876096 / 234

LCM(39,96,234) = 3744


Lets's calculate GCF of 307,802,249

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3744/1

Therefore the LCM of Fractions 39/307,96/802,234/249 is 3744

Greatest Common Factor of 307,802,249 By Matching Biggest Common Factor Method

Greatest Common Factor of 307,802,249 By Matching Biggest Common Factor Method

Factors of 307

List of positive integer factors of 307 that divides 307 without a remainder.

1,307

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 249

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

1,3,83,249

Greatest Common Factor

We found the factors 307,802,249 . The biggest common factor number is the GCF number.
So the greatest common factor 307,802,249 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 39/307, 96/802, 234/249

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 39/307, 96/802, 234/249?

Answer: LCM of Numerators as per given numbers 39/307, 96/802, 234/249 is

LCM of Numerators i.e. for 39,96,234 is 3744

GCF of denominators i.e. for 307,802,249 is 1.

Thus, LCM of Fractions is 3744.Finally, LCM of Fractions for 39/307, 96/802, 234/249 is 3744.