Least Common Multiple of 711/23, 614/96, 796/483

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 711/23, 614/96, 796/483 quickly i.e. 173748492 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 711/23, 614/96, 796/483 is 173748492.

LCM(711/23, 614/96, 796/483) = 173748492

LCM of 711/23, 614/96, 796/483

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 711/23,614/96,796/483

Given numbers are 711/23,614/96,796/483

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 711,614,796

Least Common Multiple of Numerators i.e. LCM of 711,614,796 is 173748492.

GCF of Denominators means GCF of 23,96,483 as per the given fractions.

GCF of 23,96,483 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 711,614,796

LCM of Fractions 711/23,614/96,796/483 is 173748492

2 711, 614, 796
711, 307, 398

∴ So the LCM of the given numbers is 2 x 711 x 307 x 398 = 173748492

Least Common Multiple of 711,614,796 with GCF Formula

Least Common Multiple of 711,614,796 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 711,614,796 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,614,796) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(711,614,796) x common factors =1 x 2 = 2

LCM(711,614,796) = ( 711 × 614 × 796 ) / 2

LCM(711,614,796) = 347496984 / 2

LCM(711,614,796) = 173748492


Lets's calculate GCF of 23,96,483

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 173748492/1

Therefore the LCM of Fractions 711/23,614/96,796/483 is 173748492

Greatest Common Factor of 23,96,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,96,483 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

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 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 23,96,483 . The biggest common factor number is the GCF number.
So the greatest common factor 23,96,483 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 711/23, 614/96, 796/483

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 711/23, 614/96, 796/483?

Answer: LCM of Numerators as per given numbers 711/23, 614/96, 796/483 is

LCM of Numerators i.e. for 711,614,796 is 173748492

GCF of denominators i.e. for 23,96,483 is 1.

Thus, LCM of Fractions is 173748492.Finally, LCM of Fractions for 711/23, 614/96, 796/483 is 173748492.