Least Common Multiple of 894/81, 7096/423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 894/81, 7096/423 quickly i.e. 3171912/9 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 894/81, 7096/423 is 3171912/9.

LCM(894/81, 7096/423) = 3171912/9

LCM of 894/81, 7096/423

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 894/81,7096/423

Given numbers are 894/81,7096/423

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 894,7096

Least Common Multiple of Numerators i.e. LCM of 894,7096 is 3171912.

GCF of Denominators means GCF of 81,423 as per the given fractions.

GCF of 81,423 is 9 as it is the largest common factor for these numbers.

Lets's calculate LCM of 894,7096

LCM of Fractions 894/81,7096/423 is 3171912/9

2 894, 7096
447, 3548

∴ So the LCM of the given numbers is 2 x 447 x 3548 = 3171912

Least Common Multiple of 894,7096 with GCF Formula

Least Common Multiple of 894,7096 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 894,7096 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,7096) = 2

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

GCF(894,7096) x common factors =2 x 1 = 2

LCM(894,7096) = ( 894 × 7096 ) / 2

LCM(894,7096) = 6343824 / 2

LCM(894,7096) = 3171912


Lets's calculate GCF of 81,423

3 81, 423
3 27, 141
9, 47

∴ So the GCF of the given numbers is 3 x 3 = 9

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3171912/9

Therefore the LCM of Fractions 894/81,7096/423 is 3171912/9

Greatest Common Factor of 81,423 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,423 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 423

List of positive integer factors of 423 that divides 423 without a remainder.

1,3,9,47,141,423

Greatest Common Factor

We found the factors 81,423 . The biggest common factor number is the GCF number.
So the greatest common factor 81,423 is 9.


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 894/81, 7096/423

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 894/81, 7096/423?

Answer: LCM of Numerators as per given numbers 894/81, 7096/423 is

LCM of Numerators i.e. for 894,7096 is 3171912

GCF of denominators i.e. for 81,423 is 9.

Thus, LCM of Fractions is 3171912/9.Finally, LCM of Fractions for 894/81, 7096/423 is 3171912/9.