Least Common Multiple of 512/273, 8485/966

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/273, 8485/966 quickly i.e. 4344320/21 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/273, 8485/966 is 4344320/21.

LCM(512/273, 8485/966) = 4344320/21

LCM of 512/273, 8485/966

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 512/273,8485/966

Given numbers are 512/273,8485/966

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 512,8485

Least Common Multiple of Numerators i.e. LCM of 512,8485 is 4344320.

GCF of Denominators means GCF of 273,966 as per the given fractions.

GCF of 273,966 is 21 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,8485

LCM of Fractions 512/273,8485/966 is 4344320/21

Given numbers has no common factors except 1. So, there LCM is their product i.e 4344320

Least Common Multiple of 512,8485 with GCF Formula

Least Common Multiple of 512,8485 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 512,8485 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,8485) = 1

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

GCF(512,8485) x common factors =1 x 1 = 1

LCM(512,8485) = ( 512 × 8485 ) / 1

LCM(512,8485) = 4344320 / 1

LCM(512,8485) = 4344320


Lets's calculate GCF of 273,966

3 273, 966
7 91, 322
13, 46

∴ So the GCF of the given numbers is 3 x 7 = 21

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4344320/21

Therefore the LCM of Fractions 512/273,8485/966 is 4344320/21

Greatest Common Factor of 273,966 By Matching Biggest Common Factor Method

Greatest Common Factor of 273,966 By Matching Biggest Common Factor Method

Factors of 273

List of positive integer factors of 273 that divides 273 without a remainder.

1,3,7,13,21,39,91,273

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Greatest Common Factor

We found the factors 273,966 . The biggest common factor number is the GCF number.
So the greatest common factor 273,966 is 21.


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 512/273, 8485/966

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 512/273, 8485/966?

Answer: LCM of Numerators as per given numbers 512/273, 8485/966 is

LCM of Numerators i.e. for 512,8485 is 4344320

GCF of denominators i.e. for 273,966 is 21.

Thus, LCM of Fractions is 4344320/21.Finally, LCM of Fractions for 512/273, 8485/966 is 4344320/21.