Least Common Multiple of 459/48, 4353/321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 459/48, 4353/321 quickly i.e. 222003 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 459/48, 4353/321 is 222003.

LCM(459/48, 4353/321) = 222003

LCM of 459/48, 4353/321

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 459/48,4353/321

Given numbers are 459/48,4353/321

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 459,4353

Least Common Multiple of Numerators i.e. LCM of 459,4353 is 666009.

GCF of Denominators means GCF of 48,321 as per the given fractions.

GCF of 48,321 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 459,4353

LCM of Fractions 459/48,4353/321 is 222003

3 459, 4353
153, 1451

∴ So the LCM of the given numbers is 3 x 153 x 1451 = 666009

Least Common Multiple of 459,4353 with GCF Formula

Least Common Multiple of 459,4353 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 459,4353 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,4353) = 3

common factors(in case of two or more numbers have common factors) = 1

GCF(459,4353) x common factors =3 x 1 = 3

LCM(459,4353) = ( 459 × 4353 ) / 3

LCM(459,4353) = 1998027 / 3

LCM(459,4353) = 666009


Lets's calculate GCF of 48,321

3 48, 321
16, 107

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 666009/3

Therefore the LCM of Fractions 459/48,4353/321 is 222003

Greatest Common Factor of 48,321 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,321 By Matching Biggest Common Factor Method

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 321

List of positive integer factors of 321 that divides 321 without a remainder.

1,3,107,321

Greatest Common Factor

We found the factors 48,321 . The biggest common factor number is the GCF number.
So the greatest common factor 48,321 is 3.


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 459/48, 4353/321

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 459/48, 4353/321?

Answer: LCM of Numerators as per given numbers 459/48, 4353/321 is

LCM of Numerators i.e. for 459,4353 is 666009

GCF of denominators i.e. for 48,321 is 3.

Thus, LCM of Fractions is 222003.Finally, LCM of Fractions for 459/48, 4353/321 is 222003.