Least Common Multiple of 493/269, 648/819, 471/577

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 493/269, 648/819, 471/577 quickly i.e. 50155848 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 493/269, 648/819, 471/577 is 50155848.

LCM(493/269, 648/819, 471/577) = 50155848

LCM of 493/269, 648/819, 471/577

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 493/269,648/819,471/577

Given numbers are 493/269,648/819,471/577

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 493,648,471

Least Common Multiple of Numerators i.e. LCM of 493,648,471 is 50155848.

GCF of Denominators means GCF of 269,819,577 as per the given fractions.

GCF of 269,819,577 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 493,648,471

LCM of Fractions 493/269,648/819,471/577 is 50155848

3 493, 648, 471
493, 216, 157

∴ So the LCM of the given numbers is 3 x 493 x 216 x 157 = 50155848

Least Common Multiple of 493,648,471 with GCF Formula

Least Common Multiple of 493,648,471 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 493,648,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(493,648,471) = 1

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

GCF(493,648,471) x common factors =1 x 3 = 3

LCM(493,648,471) = ( 493 × 648 × 471 ) / 3

LCM(493,648,471) = 150467544 / 3

LCM(493,648,471) = 50155848


Lets's calculate GCF of 269,819,577

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 50155848/1

Therefore the LCM of Fractions 493/269,648/819,471/577 is 50155848

Greatest Common Factor of 269,819,577 By Matching Biggest Common Factor Method

Greatest Common Factor of 269,819,577 By Matching Biggest Common Factor Method

Factors of 269

List of positive integer factors of 269 that divides 269 without a remainder.

1,269

Factors of 819

List of positive integer factors of 819 that divides 819 without a remainder.

1,3,7,9,13,21,39,63,91,117,273,819

Factors of 577

List of positive integer factors of 577 that divides 577 without a remainder.

1,577

Greatest Common Factor

We found the factors 269,819,577 . The biggest common factor number is the GCF number.
So the greatest common factor 269,819,577 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 493/269, 648/819, 471/577

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 493/269, 648/819, 471/577?

Answer: LCM of Numerators as per given numbers 493/269, 648/819, 471/577 is

LCM of Numerators i.e. for 493,648,471 is 50155848

GCF of denominators i.e. for 269,819,577 is 1.

Thus, LCM of Fractions is 50155848.Finally, LCM of Fractions for 493/269, 648/819, 471/577 is 50155848.