Least Common Multiple of 726/96, 2048/488

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 726/96, 2048/488 quickly i.e. 92928 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 726/96, 2048/488 is 92928.

LCM(726/96, 2048/488) = 92928

LCM of 726/96, 2048/488

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 726/96,2048/488

Given numbers are 726/96,2048/488

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 726,2048

Least Common Multiple of Numerators i.e. LCM of 726,2048 is 743424.

GCF of Denominators means GCF of 96,488 as per the given fractions.

GCF of 96,488 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 726,2048

LCM of Fractions 726/96,2048/488 is 92928

2 726, 2048
363, 1024

∴ So the LCM of the given numbers is 2 x 363 x 1024 = 743424

Least Common Multiple of 726,2048 with GCF Formula

Least Common Multiple of 726,2048 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 726,2048 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(726,2048) = 2

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

GCF(726,2048) x common factors =2 x 1 = 2

LCM(726,2048) = ( 726 × 2048 ) / 2

LCM(726,2048) = 1486848 / 2

LCM(726,2048) = 743424


Lets's calculate GCF of 96,488

2 96, 488
2 48, 244
2 24, 122
12, 61

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 743424/8

Therefore the LCM of Fractions 726/96,2048/488 is 92928

Greatest Common Factor of 96,488 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,488 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 488

List of positive integer factors of 488 that divides 488 without a remainder.

1,2,4,8,61,122,244,488

Greatest Common Factor

We found the factors 96,488 . The biggest common factor number is the GCF number.
So the greatest common factor 96,488 is 8.


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 726/96, 2048/488

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 726/96, 2048/488?

Answer: LCM of Numerators as per given numbers 726/96, 2048/488 is

LCM of Numerators i.e. for 726,2048 is 743424

GCF of denominators i.e. for 96,488 is 8.

Thus, LCM of Fractions is 92928.Finally, LCM of Fractions for 726/96, 2048/488 is 92928.