Least Common Multiple of 494/64, 132/56, 728/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 494/64, 132/56, 728/161 quickly i.e. 456456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 494/64, 132/56, 728/161 is 456456.

LCM(494/64, 132/56, 728/161) = 456456

LCM of 494/64, 132/56, 728/161

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 494/64,132/56,728/161

Given numbers are 494/64,132/56,728/161

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 494,132,728

Least Common Multiple of Numerators i.e. LCM of 494,132,728 is 456456.

GCF of Denominators means GCF of 64,56,161 as per the given fractions.

GCF of 64,56,161 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 494,132,728

LCM of Fractions 494/64,132/56,728/161 is 456456

2 494, 132, 728
2 247, 66, 364
13 247, 33, 182
19, 33, 14

∴ So the LCM of the given numbers is 2 x 2 x 13 x 19 x 33 x 14 = 456456

Least Common Multiple of 494,132,728 with GCF Formula

Least Common Multiple of 494,132,728 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 494,132,728 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(494,132,728) = 2

common factors(in case of two or more numbers have common factors) = 52

GCF(494,132,728) x common factors =2 x 52 = 104

LCM(494,132,728) = ( 494 × 132 × 728 ) / 104

LCM(494,132,728) = 47471424 / 104

LCM(494,132,728) = 456456


Lets's calculate GCF of 64,56,161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 456456/1

Therefore the LCM of Fractions 494/64,132/56,728/161 is 456456

Greatest Common Factor of 64,56,161 By Matching Biggest Common Factor Method

Greatest Common Factor of 64,56,161 By Matching Biggest Common Factor Method

Factors of 64

List of positive integer factors of 64 that divides 64 without a remainder.

1,2,4,8,16,32,64

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Greatest Common Factor

We found the factors 64,56,161 . The biggest common factor number is the GCF number.
So the greatest common factor 64,56,161 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 494/64, 132/56, 728/161

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 494/64, 132/56, 728/161?

Answer: LCM of Numerators as per given numbers 494/64, 132/56, 728/161 is

LCM of Numerators i.e. for 494,132,728 is 456456

GCF of denominators i.e. for 64,56,161 is 1.

Thus, LCM of Fractions is 456456.Finally, LCM of Fractions for 494/64, 132/56, 728/161 is 456456.