Least Common Multiple of 727/174, 843/493

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 727/174, 843/493 quickly i.e. 612861/29 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 727/174, 843/493 is 612861/29.

LCM(727/174, 843/493) = 612861/29

LCM of 727/174, 843/493

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 727/174,843/493

Given numbers are 727/174,843/493

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 727,843

Least Common Multiple of Numerators i.e. LCM of 727,843 is 612861.

GCF of Denominators means GCF of 174,493 as per the given fractions.

GCF of 174,493 is 29 as it is the largest common factor for these numbers.

Lets's calculate LCM of 727,843

LCM of Fractions 727/174,843/493 is 612861/29

Given numbers has no common factors except 1. So, there LCM is their product i.e 612861

Least Common Multiple of 727,843 with GCF Formula

Least Common Multiple of 727,843 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 727,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(727,843) = 1

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

GCF(727,843) x common factors =1 x 1 = 1

LCM(727,843) = ( 727 × 843 ) / 1

LCM(727,843) = 612861 / 1

LCM(727,843) = 612861


Lets's calculate GCF of 174,493

29 174, 493
6, 17

∴ So the GCF of the given numbers is 29 = 29

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 612861/29

Therefore the LCM of Fractions 727/174,843/493 is 612861/29

Greatest Common Factor of 174,493 By Matching Biggest Common Factor Method

Greatest Common Factor of 174,493 By Matching Biggest Common Factor Method

Factors of 174

List of positive integer factors of 174 that divides 174 without a remainder.

1,2,3,6,29,58,87,174

Factors of 493

List of positive integer factors of 493 that divides 493 without a remainder.

1,17,29,493

Greatest Common Factor

We found the factors 174,493 . The biggest common factor number is the GCF number.
So the greatest common factor 174,493 is 29.


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 727/174, 843/493

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 727/174, 843/493?

Answer: LCM of Numerators as per given numbers 727/174, 843/493 is

LCM of Numerators i.e. for 727,843 is 612861

GCF of denominators i.e. for 174,493 is 29.

Thus, LCM of Fractions is 612861/29.Finally, LCM of Fractions for 727/174, 843/493 is 612861/29.