Least Common Multiple of 93/567, 11/378, 729/724

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 93/567, 11/378, 729/724 quickly i.e. 248589 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 93/567, 11/378, 729/724 is 248589.

LCM(93/567, 11/378, 729/724) = 248589

LCM of 93/567, 11/378, 729/724

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 93/567,11/378,729/724

Given numbers are 93/567,11/378,729/724

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 93,11,729

Least Common Multiple of Numerators i.e. LCM of 93,11,729 is 248589.

GCF of Denominators means GCF of 567,378,724 as per the given fractions.

GCF of 567,378,724 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 93,11,729

LCM of Fractions 93/567,11/378,729/724 is 248589

3 93, 11, 729
31, 11, 243

∴ So the LCM of the given numbers is 3 x 31 x 11 x 243 = 248589

Least Common Multiple of 93,11,729 with GCF Formula

Least Common Multiple of 93,11,729 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 93,11,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(93,11,729) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(93,11,729) x common factors =1 x 3 = 3

LCM(93,11,729) = ( 93 × 11 × 729 ) / 3

LCM(93,11,729) = 745767 / 3

LCM(93,11,729) = 248589


Lets's calculate GCF of 567,378,724

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 248589/1

Therefore the LCM of Fractions 93/567,11/378,729/724 is 248589

Greatest Common Factor of 567,378,724 By Matching Biggest Common Factor Method

Greatest Common Factor of 567,378,724 By Matching Biggest Common Factor Method

Factors of 567

List of positive integer factors of 567 that divides 567 without a remainder.

1,3,7,9,21,27,63,81,189,567

Factors of 378

List of positive integer factors of 378 that divides 378 without a remainder.

1,2,3,6,7,9,14,18,21,27,42,54,63,126,189,378

Factors of 724

List of positive integer factors of 724 that divides 724 without a remainder.

1,2,4,181,362,724

Greatest Common Factor

We found the factors 567,378,724 . The biggest common factor number is the GCF number.
So the greatest common factor 567,378,724 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 93/567, 11/378, 729/724

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 93/567, 11/378, 729/724?

Answer: LCM of Numerators as per given numbers 93/567, 11/378, 729/724 is

LCM of Numerators i.e. for 93,11,729 is 248589

GCF of denominators i.e. for 567,378,724 is 1.

Thus, LCM of Fractions is 248589.Finally, LCM of Fractions for 93/567, 11/378, 729/724 is 248589.