Least Common Multiple of 19/894, 1233/3423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/894, 1233/3423 quickly i.e. 7809 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/894, 1233/3423 is 7809.

LCM(19/894, 1233/3423) = 7809

LCM of 19/894, 1233/3423

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 19/894,1233/3423

Given numbers are 19/894,1233/3423

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 19,1233

Least Common Multiple of Numerators i.e. LCM of 19,1233 is 23427.

GCF of Denominators means GCF of 894,3423 as per the given fractions.

GCF of 894,3423 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,1233

LCM of Fractions 19/894,1233/3423 is 7809

Given numbers has no common factors except 1. So, there LCM is their product i.e 23427

Least Common Multiple of 19,1233 with GCF Formula

Least Common Multiple of 19,1233 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 19,1233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,1233) = 1

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

GCF(19,1233) x common factors =1 x 1 = 1

LCM(19,1233) = ( 19 × 1233 ) / 1

LCM(19,1233) = 23427 / 1

LCM(19,1233) = 23427


Lets's calculate GCF of 894,3423

3 894, 3423
298, 1141

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23427/3

Therefore the LCM of Fractions 19/894,1233/3423 is 7809

Greatest Common Factor of 894,3423 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,3423 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 3423

List of positive integer factors of 3423 that divides 3423 without a remainder.

1,3,7,21,163,489,1141,3423

Greatest Common Factor

We found the factors 894,3423 . The biggest common factor number is the GCF number.
So the greatest common factor 894,3423 is 3.


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 19/894, 1233/3423

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 19/894, 1233/3423?

Answer: LCM of Numerators as per given numbers 19/894, 1233/3423 is

LCM of Numerators i.e. for 19,1233 is 23427

GCF of denominators i.e. for 894,3423 is 3.

Thus, LCM of Fractions is 7809.Finally, LCM of Fractions for 19/894, 1233/3423 is 7809.