Least Common Multiple of 729/45, 439/96, 414/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/45, 439/96, 414/597 quickly i.e. 4907142 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/45, 439/96, 414/597 is 4907142.

LCM(729/45, 439/96, 414/597) = 4907142

LCM of 729/45, 439/96, 414/597

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 729/45,439/96,414/597

Given numbers are 729/45,439/96,414/597

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 729,439,414

Least Common Multiple of Numerators i.e. LCM of 729,439,414 is 14721426.

GCF of Denominators means GCF of 45,96,597 as per the given fractions.

GCF of 45,96,597 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,439,414

LCM of Fractions 729/45,439/96,414/597 is 4907142

3 729, 439, 414
3 243, 439, 138
81, 439, 46

∴ So the LCM of the given numbers is 3 x 3 x 81 x 439 x 46 = 14721426

Least Common Multiple of 729,439,414 with GCF Formula

Least Common Multiple of 729,439,414 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 729,439,414 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,439,414) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(729,439,414) x common factors =1 x 9 = 9

LCM(729,439,414) = ( 729 × 439 × 414 ) / 9

LCM(729,439,414) = 132492834 / 9

LCM(729,439,414) = 14721426


Lets's calculate GCF of 45,96,597

3 45, 96, 597
15, 32, 199

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 14721426/3

Therefore the LCM of Fractions 729/45,439/96,414/597 is 4907142

Greatest Common Factor of 45,96,597 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,96,597 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 96

List of positive integer factors of 96 that divides 96 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Greatest Common Factor

We found the factors 45,96,597 . The biggest common factor number is the GCF number.
So the greatest common factor 45,96,597 is 3.


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 729/45, 439/96, 414/597

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 729/45, 439/96, 414/597?

Answer: LCM of Numerators as per given numbers 729/45, 439/96, 414/597 is

LCM of Numerators i.e. for 729,439,414 is 14721426

GCF of denominators i.e. for 45,96,597 is 3.

Thus, LCM of Fractions is 4907142.Finally, LCM of Fractions for 729/45, 439/96, 414/597 is 4907142.