Least Common Multiple of 205/18, 244/82, 606/357

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 205/18, 244/82, 606/357 quickly i.e. 15156060 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 205/18, 244/82, 606/357 is 15156060.

LCM(205/18, 244/82, 606/357) = 15156060

LCM of 205/18, 244/82, 606/357

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 205/18,244/82,606/357

Given numbers are 205/18,244/82,606/357

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 205,244,606

Least Common Multiple of Numerators i.e. LCM of 205,244,606 is 15156060.

GCF of Denominators means GCF of 18,82,357 as per the given fractions.

GCF of 18,82,357 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 205,244,606

LCM of Fractions 205/18,244/82,606/357 is 15156060

2 205, 244, 606
205, 122, 303

∴ So the LCM of the given numbers is 2 x 205 x 122 x 303 = 15156060

Least Common Multiple of 205,244,606 with GCF Formula

Least Common Multiple of 205,244,606 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 205,244,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(205,244,606) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(205,244,606) x common factors =1 x 2 = 2

LCM(205,244,606) = ( 205 × 244 × 606 ) / 2

LCM(205,244,606) = 30312120 / 2

LCM(205,244,606) = 15156060


Lets's calculate GCF of 18,82,357

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 15156060/1

Therefore the LCM of Fractions 205/18,244/82,606/357 is 15156060

Greatest Common Factor of 18,82,357 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,82,357 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Greatest Common Factor

We found the factors 18,82,357 . The biggest common factor number is the GCF number.
So the greatest common factor 18,82,357 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 205/18, 244/82, 606/357

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 205/18, 244/82, 606/357?

Answer: LCM of Numerators as per given numbers 205/18, 244/82, 606/357 is

LCM of Numerators i.e. for 205,244,606 is 15156060

GCF of denominators i.e. for 18,82,357 is 1.

Thus, LCM of Fractions is 15156060.Finally, LCM of Fractions for 205/18, 244/82, 606/357 is 15156060.