Least Common Multiple of 729/723, 514/538, 846/839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/723, 514/538, 846/839 quickly i.e. 17611182 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/723, 514/538, 846/839 is 17611182.

LCM(729/723, 514/538, 846/839) = 17611182

LCM of 729/723, 514/538, 846/839

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 729/723,514/538,846/839

Given numbers are 729/723,514/538,846/839

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 729,514,846

Least Common Multiple of Numerators i.e. LCM of 729,514,846 is 17611182.

GCF of Denominators means GCF of 723,538,839 as per the given fractions.

GCF of 723,538,839 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,514,846

LCM of Fractions 729/723,514/538,846/839 is 17611182

2 729, 514, 846
3 729, 257, 423
3 243, 257, 141
81, 257, 47

∴ So the LCM of the given numbers is 2 x 3 x 3 x 81 x 257 x 47 = 17611182

Least Common Multiple of 729,514,846 with GCF Formula

Least Common Multiple of 729,514,846 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 729,514,846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,514,846) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(729,514,846) x common factors =1 x 18 = 18

LCM(729,514,846) = ( 729 × 514 × 846 ) / 18

LCM(729,514,846) = 317001276 / 18

LCM(729,514,846) = 17611182


Lets's calculate GCF of 723,538,839

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 17611182/1

Therefore the LCM of Fractions 729/723,514/538,846/839 is 17611182

Greatest Common Factor of 723,538,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 723,538,839 By Matching Biggest Common Factor Method

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 839

List of positive integer factors of 839 that divides 839 without a remainder.

1,839

Greatest Common Factor

We found the factors 723,538,839 . The biggest common factor number is the GCF number.
So the greatest common factor 723,538,839 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 729/723, 514/538, 846/839

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 729/723, 514/538, 846/839?

Answer: LCM of Numerators as per given numbers 729/723, 514/538, 846/839 is

LCM of Numerators i.e. for 729,514,846 is 17611182

GCF of denominators i.e. for 723,538,839 is 1.

Thus, LCM of Fractions is 17611182.Finally, LCM of Fractions for 729/723, 514/538, 846/839 is 17611182.