Least Common Multiple of 933/96, 384/43, 814/43

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 933/96, 384/43, 814/43 quickly i.e. 48605568 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 933/96, 384/43, 814/43 is 48605568.

LCM(933/96, 384/43, 814/43) = 48605568

LCM of 933/96, 384/43, 814/43

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 933/96,384/43,814/43

Given numbers are 933/96,384/43,814/43

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 933,384,814

Least Common Multiple of Numerators i.e. LCM of 933,384,814 is 48605568.

GCF of Denominators means GCF of 96,43,43 as per the given fractions.

GCF of 96,43,43 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 933,384,814

LCM of Fractions 933/96,384/43,814/43 is 48605568

2 933, 384, 814
3 933, 192, 407
311, 64, 407

∴ So the LCM of the given numbers is 2 x 3 x 311 x 64 x 407 = 48605568

Least Common Multiple of 933,384,814 with GCF Formula

Least Common Multiple of 933,384,814 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 933,384,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(933,384,814) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(933,384,814) x common factors =1 x 6 = 6

LCM(933,384,814) = ( 933 × 384 × 814 ) / 6

LCM(933,384,814) = 291633408 / 6

LCM(933,384,814) = 48605568


Lets's calculate GCF of 96,43,43

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 48605568/1

Therefore the LCM of Fractions 933/96,384/43,814/43 is 48605568

Greatest Common Factor of 96,43,43 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,43,43 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 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Greatest Common Factor

We found the factors 96,43,43 . The biggest common factor number is the GCF number.
So the greatest common factor 96,43,43 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 933/96, 384/43, 814/43

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 933/96, 384/43, 814/43?

Answer: LCM of Numerators as per given numbers 933/96, 384/43, 814/43 is

LCM of Numerators i.e. for 933,384,814 is 48605568

GCF of denominators i.e. for 96,43,43 is 1.

Thus, LCM of Fractions is 48605568.Finally, LCM of Fractions for 933/96, 384/43, 814/43 is 48605568.