Least Common Multiple of 54/721, 1193/4563

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 54/721, 1193/4563 quickly i.e. 64422 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/721, 1193/4563 is 64422.

LCM(54/721, 1193/4563) = 64422

LCM of 54/721, 1193/4563

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 54/721,1193/4563

Given numbers are 54/721,1193/4563

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 54,1193

Least Common Multiple of Numerators i.e. LCM of 54,1193 is 64422.

GCF of Denominators means GCF of 721,4563 as per the given fractions.

GCF of 721,4563 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,1193

LCM of Fractions 54/721,1193/4563 is 64422

Given numbers has no common factors except 1. So, there LCM is their product i.e 64422

Least Common Multiple of 54,1193 with GCF Formula

Least Common Multiple of 54,1193 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 54,1193 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,1193) = 1

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

GCF(54,1193) x common factors =1 x 1 = 1

LCM(54,1193) = ( 54 × 1193 ) / 1

LCM(54,1193) = 64422 / 1

LCM(54,1193) = 64422


Lets's calculate GCF of 721,4563

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64422/1

Therefore the LCM of Fractions 54/721,1193/4563 is 64422

Greatest Common Factor of 721,4563 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,4563 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 4563

List of positive integer factors of 4563 that divides 4563 without a remainder.

1,3,9,13,27,39,117,169,351,507,1521,4563

Greatest Common Factor

We found the factors 721,4563 . The biggest common factor number is the GCF number.
So the greatest common factor 721,4563 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 54/721, 1193/4563

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 54/721, 1193/4563?

Answer: LCM of Numerators as per given numbers 54/721, 1193/4563 is

LCM of Numerators i.e. for 54,1193 is 64422

GCF of denominators i.e. for 721,4563 is 1.

Thus, LCM of Fractions is 64422.Finally, LCM of Fractions for 54/721, 1193/4563 is 64422.