Least Common Multiple of 93/89, 843/96, 279/846

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/89, 843/96, 279/846 quickly i.e. 78399 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/89, 843/96, 279/846 is 78399.

LCM(93/89, 843/96, 279/846) = 78399

LCM of 93/89, 843/96, 279/846

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 93/89,843/96,279/846

Given numbers are 93/89,843/96,279/846

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 93,843,279

Least Common Multiple of Numerators i.e. LCM of 93,843,279 is 78399.

GCF of Denominators means GCF of 89,96,846 as per the given fractions.

GCF of 89,96,846 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,843,279

LCM of Fractions 93/89,843/96,279/846 is 78399

3 93, 843, 279
31 31, 281, 93
1, 281, 3

∴ So the LCM of the given numbers is 3 x 31 x 1 x 281 x 3 = 78399

Least Common Multiple of 93,843,279 with GCF Formula

Least Common Multiple of 93,843,279 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 93,843,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,843,279) = 3

common factors(in case of two or more numbers have common factors) = 93

GCF(93,843,279) x common factors =3 x 93 = 279

LCM(93,843,279) = ( 93 × 843 × 279 ) / 279

LCM(93,843,279) = 21873321 / 279

LCM(93,843,279) = 78399


Lets's calculate GCF of 89,96,846

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 78399/1

Therefore the LCM of Fractions 93/89,843/96,279/846 is 78399

Greatest Common Factor of 89,96,846 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,96,846 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

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 846

List of positive integer factors of 846 that divides 846 without a remainder.

1,2,3,6,9,18,47,94,141,282,423,846

Greatest Common Factor

We found the factors 89,96,846 . The biggest common factor number is the GCF number.
So the greatest common factor 89,96,846 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 93/89, 843/96, 279/846

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 93/89, 843/96, 279/846?

Answer: LCM of Numerators as per given numbers 93/89, 843/96, 279/846 is

LCM of Numerators i.e. for 93,843,279 is 78399

GCF of denominators i.e. for 89,96,846 is 1.

Thus, LCM of Fractions is 78399.Finally, LCM of Fractions for 93/89, 843/96, 279/846 is 78399.