Least Common Multiple of 11/664, 82/541, 606/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 11/664, 82/541, 606/823 quickly i.e. 273306 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 11/664, 82/541, 606/823 is 273306.

LCM(11/664, 82/541, 606/823) = 273306

LCM of 11/664, 82/541, 606/823

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 11/664,82/541,606/823

Given numbers are 11/664,82/541,606/823

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 11,82,606

Least Common Multiple of Numerators i.e. LCM of 11,82,606 is 273306.

GCF of Denominators means GCF of 664,541,823 as per the given fractions.

GCF of 664,541,823 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 11,82,606

LCM of Fractions 11/664,82/541,606/823 is 273306

2 11, 82, 606
11, 41, 303

∴ So the LCM of the given numbers is 2 x 11 x 41 x 303 = 273306

Least Common Multiple of 11,82,606 with GCF Formula

Least Common Multiple of 11,82,606 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 11,82,606 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,82,606) = 1

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

GCF(11,82,606) x common factors =1 x 2 = 2

LCM(11,82,606) = ( 11 × 82 × 606 ) / 2

LCM(11,82,606) = 546612 / 2

LCM(11,82,606) = 273306


Lets's calculate GCF of 664,541,823

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 273306/1

Therefore the LCM of Fractions 11/664,82/541,606/823 is 273306

Greatest Common Factor of 664,541,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,541,823 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 541

List of positive integer factors of 541 that divides 541 without a remainder.

1,541

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 664,541,823 . The biggest common factor number is the GCF number.
So the greatest common factor 664,541,823 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 11/664, 82/541, 606/823

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 11/664, 82/541, 606/823?

Answer: LCM of Numerators as per given numbers 11/664, 82/541, 606/823 is

LCM of Numerators i.e. for 11,82,606 is 273306

GCF of denominators i.e. for 664,541,823 is 1.

Thus, LCM of Fractions is 273306.Finally, LCM of Fractions for 11/664, 82/541, 606/823 is 273306.