Least Common Multiple of 477/82, 664/48, 291/279

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 477/82, 664/48, 291/279 quickly i.e. 30722616 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 477/82, 664/48, 291/279 is 30722616.

LCM(477/82, 664/48, 291/279) = 30722616

LCM of 477/82, 664/48, 291/279

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 477/82,664/48,291/279

Given numbers are 477/82,664/48,291/279

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 477,664,291

Least Common Multiple of Numerators i.e. LCM of 477,664,291 is 30722616.

GCF of Denominators means GCF of 82,48,279 as per the given fractions.

GCF of 82,48,279 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 477,664,291

LCM of Fractions 477/82,664/48,291/279 is 30722616

3 477, 664, 291
159, 664, 97

∴ So the LCM of the given numbers is 3 x 159 x 664 x 97 = 30722616

Least Common Multiple of 477,664,291 with GCF Formula

Least Common Multiple of 477,664,291 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 477,664,291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(477,664,291) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(477,664,291) x common factors =1 x 3 = 3

LCM(477,664,291) = ( 477 × 664 × 291 ) / 3

LCM(477,664,291) = 92167848 / 3

LCM(477,664,291) = 30722616


Lets's calculate GCF of 82,48,279

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 30722616/1

Therefore the LCM of Fractions 477/82,664/48,291/279 is 30722616

Greatest Common Factor of 82,48,279 By Matching Biggest Common Factor Method

Greatest Common Factor of 82,48,279 By Matching Biggest Common Factor Method

Factors of 82

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

1,2,41,82

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

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

Factors of 279

List of positive integer factors of 279 that divides 279 without a remainder.

1,3,9,31,93,279

Greatest Common Factor

We found the factors 82,48,279 . The biggest common factor number is the GCF number.
So the greatest common factor 82,48,279 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 477/82, 664/48, 291/279

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 477/82, 664/48, 291/279?

Answer: LCM of Numerators as per given numbers 477/82, 664/48, 291/279 is

LCM of Numerators i.e. for 477,664,291 is 30722616

GCF of denominators i.e. for 82,48,279 is 1.

Thus, LCM of Fractions is 30722616.Finally, LCM of Fractions for 477/82, 664/48, 291/279 is 30722616.