Least Common Multiple of 819/96, 1014/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 819/96, 1014/923 quickly i.e. 21294 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 819/96, 1014/923 is 21294.

LCM(819/96, 1014/923) = 21294

LCM of 819/96, 1014/923

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 819/96,1014/923

Given numbers are 819/96,1014/923

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 819,1014

Least Common Multiple of Numerators i.e. LCM of 819,1014 is 21294.

GCF of Denominators means GCF of 96,923 as per the given fractions.

GCF of 96,923 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 819,1014

LCM of Fractions 819/96,1014/923 is 21294

3 819, 1014
13 273, 338
21, 26

∴ So the LCM of the given numbers is 3 x 13 x 21 x 26 = 21294

Least Common Multiple of 819,1014 with GCF Formula

Least Common Multiple of 819,1014 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 819,1014 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(819,1014) = 39

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

GCF(819,1014) x common factors =39 x 1 = 39

LCM(819,1014) = ( 819 × 1014 ) / 39

LCM(819,1014) = 830466 / 39

LCM(819,1014) = 21294


Lets's calculate GCF of 96,923

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21294/1

Therefore the LCM of Fractions 819/96,1014/923 is 21294

Greatest Common Factor of 96,923 By Matching Biggest Common Factor Method

Greatest Common Factor of 96,923 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 923

List of positive integer factors of 923 that divides 923 without a remainder.

1,13,71,923

Greatest Common Factor

We found the factors 96,923 . The biggest common factor number is the GCF number.
So the greatest common factor 96,923 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 819/96, 1014/923

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 819/96, 1014/923?

Answer: LCM of Numerators as per given numbers 819/96, 1014/923 is

LCM of Numerators i.e. for 819,1014 is 21294

GCF of denominators i.e. for 96,923 is 1.

Thus, LCM of Fractions is 21294.Finally, LCM of Fractions for 819/96, 1014/923 is 21294.