Least Common Multiple of 593/55, 858/22, 112/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 593/55, 858/22, 112/729 quickly i.e. 28492464 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 593/55, 858/22, 112/729 is 28492464.

LCM(593/55, 858/22, 112/729) = 28492464

LCM of 593/55, 858/22, 112/729

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 593/55,858/22,112/729

Given numbers are 593/55,858/22,112/729

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 593,858,112

Least Common Multiple of Numerators i.e. LCM of 593,858,112 is 28492464.

GCF of Denominators means GCF of 55,22,729 as per the given fractions.

GCF of 55,22,729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 593,858,112

LCM of Fractions 593/55,858/22,112/729 is 28492464

2 593, 858, 112
593, 429, 56

∴ So the LCM of the given numbers is 2 x 593 x 429 x 56 = 28492464

Least Common Multiple of 593,858,112 with GCF Formula

Least Common Multiple of 593,858,112 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 593,858,112 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(593,858,112) = 1

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

GCF(593,858,112) x common factors =1 x 2 = 2

LCM(593,858,112) = ( 593 × 858 × 112 ) / 2

LCM(593,858,112) = 56984928 / 2

LCM(593,858,112) = 28492464


Lets's calculate GCF of 55,22,729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28492464/1

Therefore the LCM of Fractions 593/55,858/22,112/729 is 28492464

Greatest Common Factor of 55,22,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,22,729 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 55,22,729 . The biggest common factor number is the GCF number.
So the greatest common factor 55,22,729 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 593/55, 858/22, 112/729

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 593/55, 858/22, 112/729?

Answer: LCM of Numerators as per given numbers 593/55, 858/22, 112/729 is

LCM of Numerators i.e. for 593,858,112 is 28492464

GCF of denominators i.e. for 55,22,729 is 1.

Thus, LCM of Fractions is 28492464.Finally, LCM of Fractions for 593/55, 858/22, 112/729 is 28492464.