Least Common Multiple of 731/96, 448/338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 731/96, 448/338 quickly i.e. 163744 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 731/96, 448/338 is 163744.

LCM(731/96, 448/338) = 163744

LCM of 731/96, 448/338

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 731/96,448/338

Given numbers are 731/96,448/338

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 731,448

Least Common Multiple of Numerators i.e. LCM of 731,448 is 327488.

GCF of Denominators means GCF of 96,338 as per the given fractions.

GCF of 96,338 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 731,448

LCM of Fractions 731/96,448/338 is 163744

Given numbers has no common factors except 1. So, there LCM is their product i.e 327488

Least Common Multiple of 731,448 with GCF Formula

Least Common Multiple of 731,448 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 731,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(731,448) = 1

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

GCF(731,448) x common factors =1 x 1 = 1

LCM(731,448) = ( 731 × 448 ) / 1

LCM(731,448) = 327488 / 1

LCM(731,448) = 327488


Lets's calculate GCF of 96,338

2 96, 338
48, 169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 327488/2

Therefore the LCM of Fractions 731/96,448/338 is 163744

Greatest Common Factor of 96,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,338 By Matching Biggest Common Factor Method

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 96,338 . The biggest common factor number is the GCF number.
So the greatest common factor 96,338 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 731/96, 448/338

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 731/96, 448/338?

Answer: LCM of Numerators as per given numbers 731/96, 448/338 is

LCM of Numerators i.e. for 731,448 is 327488

GCF of denominators i.e. for 96,338 is 2.

Thus, LCM of Fractions is 163744.Finally, LCM of Fractions for 731/96, 448/338 is 163744.