Least Common Multiple of 728/13, 892/27, 223/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 728/13, 892/27, 223/681 quickly i.e. 162344 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 728/13, 892/27, 223/681 is 162344.

LCM(728/13, 892/27, 223/681) = 162344

LCM of 728/13, 892/27, 223/681

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 728/13,892/27,223/681

Given numbers are 728/13,892/27,223/681

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 728,892,223

Least Common Multiple of Numerators i.e. LCM of 728,892,223 is 162344.

GCF of Denominators means GCF of 13,27,681 as per the given fractions.

GCF of 13,27,681 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 728,892,223

LCM of Fractions 728/13,892/27,223/681 is 162344

2 728, 892, 223
2 364, 446, 223
223 182, 223, 223
182, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 223 x 182 x 1 x 1 = 162344

Least Common Multiple of 728,892,223 with GCF Formula

Least Common Multiple of 728,892,223 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 728,892,223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(728,892,223) = 1

common factors(in case of two or more numbers have common factors) = 892

GCF(728,892,223) x common factors =1 x 892 = 892

LCM(728,892,223) = ( 728 × 892 × 223 ) / 892

LCM(728,892,223) = 144810848 / 892

LCM(728,892,223) = 162344


Lets's calculate GCF of 13,27,681

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 162344/1

Therefore the LCM of Fractions 728/13,892/27,223/681 is 162344

Greatest Common Factor of 13,27,681 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,27,681 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Greatest Common Factor

We found the factors 13,27,681 . The biggest common factor number is the GCF number.
So the greatest common factor 13,27,681 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 728/13, 892/27, 223/681

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 728/13, 892/27, 223/681?

Answer: LCM of Numerators as per given numbers 728/13, 892/27, 223/681 is

LCM of Numerators i.e. for 728,892,223 is 162344

GCF of denominators i.e. for 13,27,681 is 1.

Thus, LCM of Fractions is 162344.Finally, LCM of Fractions for 728/13, 892/27, 223/681 is 162344.