Least Common Multiple of 96/344, 79/209, 319/248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/344, 79/209, 319/248 quickly i.e. 2419296 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/344, 79/209, 319/248 is 2419296.

LCM(96/344, 79/209, 319/248) = 2419296

LCM of 96/344, 79/209, 319/248

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 96/344,79/209,319/248

Given numbers are 96/344,79/209,319/248

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 96,79,319

Least Common Multiple of Numerators i.e. LCM of 96,79,319 is 2419296.

GCF of Denominators means GCF of 344,209,248 as per the given fractions.

GCF of 344,209,248 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,79,319

LCM of Fractions 96/344,79/209,319/248 is 2419296

Given numbers has no common factors except 1. So, there LCM is their product i.e 2419296

Least Common Multiple of 96,79,319 with GCF Formula

Least Common Multiple of 96,79,319 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 96,79,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,79,319) = 1

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

GCF(96,79,319) x common factors =1 x 1 = 1

LCM(96,79,319) = ( 96 × 79 × 319 ) / 1

LCM(96,79,319) = 2419296 / 1

LCM(96,79,319) = 2419296


Lets's calculate GCF of 344,209,248

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2419296/1

Therefore the LCM of Fractions 96/344,79/209,319/248 is 2419296

Greatest Common Factor of 344,209,248 By Matching Biggest Common Factor Method

Greatest Common Factor of 344,209,248 By Matching Biggest Common Factor Method

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 248

List of positive integer factors of 248 that divides 248 without a remainder.

1,2,4,8,31,62,124,248

Greatest Common Factor

We found the factors 344,209,248 . The biggest common factor number is the GCF number.
So the greatest common factor 344,209,248 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 96/344, 79/209, 319/248

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 96/344, 79/209, 319/248?

Answer: LCM of Numerators as per given numbers 96/344, 79/209, 319/248 is

LCM of Numerators i.e. for 96,79,319 is 2419296

GCF of denominators i.e. for 344,209,248 is 1.

Thus, LCM of Fractions is 2419296.Finally, LCM of Fractions for 96/344, 79/209, 319/248 is 2419296.