Least Common Multiple of 23/729, 368/735, 827/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/729, 368/735, 827/410 quickly i.e. 304336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/729, 368/735, 827/410 is 304336.

LCM(23/729, 368/735, 827/410) = 304336

LCM of 23/729, 368/735, 827/410

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 23/729,368/735,827/410

Given numbers are 23/729,368/735,827/410

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 23,368,827

Least Common Multiple of Numerators i.e. LCM of 23,368,827 is 304336.

GCF of Denominators means GCF of 729,735,410 as per the given fractions.

GCF of 729,735,410 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,368,827

LCM of Fractions 23/729,368/735,827/410 is 304336

23 23, 368, 827
1, 16, 827

∴ So the LCM of the given numbers is 23 x 1 x 16 x 827 = 304336

Least Common Multiple of 23,368,827 with GCF Formula

Least Common Multiple of 23,368,827 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 23,368,827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,368,827) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(23,368,827) x common factors =1 x 23 = 23

LCM(23,368,827) = ( 23 × 368 × 827 ) / 23

LCM(23,368,827) = 6999728 / 23

LCM(23,368,827) = 304336


Lets's calculate GCF of 729,735,410

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 304336/1

Therefore the LCM of Fractions 23/729,368/735,827/410 is 304336

Greatest Common Factor of 729,735,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 729,735,410 By Matching Biggest Common Factor Method

Factors of 729

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

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

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 729,735,410 . The biggest common factor number is the GCF number.
So the greatest common factor 729,735,410 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 23/729, 368/735, 827/410

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 23/729, 368/735, 827/410?

Answer: LCM of Numerators as per given numbers 23/729, 368/735, 827/410 is

LCM of Numerators i.e. for 23,368,827 is 304336

GCF of denominators i.e. for 729,735,410 is 1.

Thus, LCM of Fractions is 304336.Finally, LCM of Fractions for 23/729, 368/735, 827/410 is 304336.