Least Common Multiple of 618/204, 609/729, 906/732

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 618/204, 609/729, 906/732 quickly i.e. 6314518 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 618/204, 609/729, 906/732 is 6314518.

LCM(618/204, 609/729, 906/732) = 6314518

LCM of 618/204, 609/729, 906/732

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 618/204,609/729,906/732

Given numbers are 618/204,609/729,906/732

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 618,609,906

Least Common Multiple of Numerators i.e. LCM of 618,609,906 is 18943554.

GCF of Denominators means GCF of 204,729,732 as per the given fractions.

GCF of 204,729,732 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 618,609,906

LCM of Fractions 618/204,609/729,906/732 is 6314518

2 618, 609, 906
3 309, 609, 453
103, 203, 151

∴ So the LCM of the given numbers is 2 x 3 x 103 x 203 x 151 = 18943554

Least Common Multiple of 618,609,906 with GCF Formula

Least Common Multiple of 618,609,906 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 618,609,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(618,609,906) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(618,609,906) x common factors =3 x 6 = 18

LCM(618,609,906) = ( 618 × 609 × 906 ) / 18

LCM(618,609,906) = 340983972 / 18

LCM(618,609,906) = 18943554


Lets's calculate GCF of 204,729,732

3 204, 729, 732
68, 243, 244

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18943554/3

Therefore the LCM of Fractions 618/204,609/729,906/732 is 6314518

Greatest Common Factor of 204,729,732 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,729,732 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

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 732

List of positive integer factors of 732 that divides 732 without a remainder.

1,2,3,4,6,12,61,122,183,244,366,732

Greatest Common Factor

We found the factors 204,729,732 . The biggest common factor number is the GCF number.
So the greatest common factor 204,729,732 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 618/204, 609/729, 906/732

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 618/204, 609/729, 906/732?

Answer: LCM of Numerators as per given numbers 618/204, 609/729, 906/732 is

LCM of Numerators i.e. for 618,609,906 is 18943554

GCF of denominators i.e. for 204,729,732 is 3.

Thus, LCM of Fractions is 6314518.Finally, LCM of Fractions for 618/204, 609/729, 906/732 is 6314518.