Least Common Multiple of 463/480, 665/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 463/480, 665/459 quickly i.e. 307895/3 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 463/480, 665/459 is 307895/3.

LCM(463/480, 665/459) = 307895/3

LCM of 463/480, 665/459

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 463/480,665/459

Given numbers are 463/480,665/459

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 463,665

Least Common Multiple of Numerators i.e. LCM of 463,665 is 307895.

GCF of Denominators means GCF of 480,459 as per the given fractions.

GCF of 480,459 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 463,665

LCM of Fractions 463/480,665/459 is 307895/3

Given numbers has no common factors except 1. So, there LCM is their product i.e 307895

Least Common Multiple of 463,665 with GCF Formula

Least Common Multiple of 463,665 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 463,665 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,665) = 1

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

GCF(463,665) x common factors =1 x 1 = 1

LCM(463,665) = ( 463 × 665 ) / 1

LCM(463,665) = 307895 / 1

LCM(463,665) = 307895


Lets's calculate GCF of 480,459

3 480, 459
160, 153

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 307895/3

Therefore the LCM of Fractions 463/480,665/459 is 307895/3

Greatest Common Factor of 480,459 By Matching Biggest Common Factor Method

Greatest Common Factor of 480,459 By Matching Biggest Common Factor Method

Factors of 480

List of positive integer factors of 480 that divides 480 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,32,40,48,60,80,96,120,160,240,480

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 480,459 . The biggest common factor number is the GCF number.
So the greatest common factor 480,459 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 463/480, 665/459

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 463/480, 665/459?

Answer: LCM of Numerators as per given numbers 463/480, 665/459 is

LCM of Numerators i.e. for 463,665 is 307895

GCF of denominators i.e. for 480,459 is 3.

Thus, LCM of Fractions is 307895/3.Finally, LCM of Fractions for 463/480, 665/459 is 307895/3.