Least Common Multiple of 512/43, 530/97, 285/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/43, 530/97, 285/768 quickly i.e. 7733760 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/43, 530/97, 285/768 is 7733760.

LCM(512/43, 530/97, 285/768) = 7733760

LCM of 512/43, 530/97, 285/768

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 512/43,530/97,285/768

Given numbers are 512/43,530/97,285/768

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 512,530,285

Least Common Multiple of Numerators i.e. LCM of 512,530,285 is 7733760.

GCF of Denominators means GCF of 43,97,768 as per the given fractions.

GCF of 43,97,768 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,530,285

LCM of Fractions 512/43,530/97,285/768 is 7733760

2 512, 530, 285
5 256, 265, 285
256, 53, 57

∴ So the LCM of the given numbers is 2 x 5 x 256 x 53 x 57 = 7733760

Least Common Multiple of 512,530,285 with GCF Formula

Least Common Multiple of 512,530,285 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 512,530,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,530,285) = 1

common factors(in case of two or more numbers have common factors) = 10

GCF(512,530,285) x common factors =1 x 10 = 10

LCM(512,530,285) = ( 512 × 530 × 285 ) / 10

LCM(512,530,285) = 77337600 / 10

LCM(512,530,285) = 7733760


Lets's calculate GCF of 43,97,768

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7733760/1

Therefore the LCM of Fractions 512/43,530/97,285/768 is 7733760

Greatest Common Factor of 43,97,768 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,97,768 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 97

List of positive integer factors of 97 that divides 97 without a remainder.

1,97

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Greatest Common Factor

We found the factors 43,97,768 . The biggest common factor number is the GCF number.
So the greatest common factor 43,97,768 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 512/43, 530/97, 285/768

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 512/43, 530/97, 285/768?

Answer: LCM of Numerators as per given numbers 512/43, 530/97, 285/768 is

LCM of Numerators i.e. for 512,530,285 is 7733760

GCF of denominators i.e. for 43,97,768 is 1.

Thus, LCM of Fractions is 7733760.Finally, LCM of Fractions for 512/43, 530/97, 285/768 is 7733760.