Least Common Multiple of 823/96, 542/44, 408/44

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 823/96, 542/44, 408/44 quickly i.e. 22749366 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 823/96, 542/44, 408/44 is 22749366.

LCM(823/96, 542/44, 408/44) = 22749366

LCM of 823/96, 542/44, 408/44

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 823/96,542/44,408/44

Given numbers are 823/96,542/44,408/44

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 823,542,408

Least Common Multiple of Numerators i.e. LCM of 823,542,408 is 90997464.

GCF of Denominators means GCF of 96,44,44 as per the given fractions.

GCF of 96,44,44 is 4 as it is the largest common factor for these numbers.

Lets's calculate LCM of 823,542,408

LCM of Fractions 823/96,542/44,408/44 is 22749366

2 823, 542, 408
823, 271, 204

∴ So the LCM of the given numbers is 2 x 823 x 271 x 204 = 90997464

Least Common Multiple of 823,542,408 with GCF Formula

Least Common Multiple of 823,542,408 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 823,542,408 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(823,542,408) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(823,542,408) x common factors =1 x 2 = 2

LCM(823,542,408) = ( 823 × 542 × 408 ) / 2

LCM(823,542,408) = 181994928 / 2

LCM(823,542,408) = 90997464


Lets's calculate GCF of 96,44,44

2 96, 44, 44
2 48, 22, 22
24, 11, 11

∴ So the GCF of the given numbers is 2 x 2 = 4

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 90997464/4

Therefore the LCM of Fractions 823/96,542/44,408/44 is 22749366

Greatest Common Factor of 96,44,44 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,44,44 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 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Greatest Common Factor

We found the factors 96,44,44 . The biggest common factor number is the GCF number.
So the greatest common factor 96,44,44 is 4.


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 823/96, 542/44, 408/44

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 823/96, 542/44, 408/44?

Answer: LCM of Numerators as per given numbers 823/96, 542/44, 408/44 is

LCM of Numerators i.e. for 823,542,408 is 90997464

GCF of denominators i.e. for 96,44,44 is 4.

Thus, LCM of Fractions is 22749366.Finally, LCM of Fractions for 823/96, 542/44, 408/44 is 22749366.