Least Common Multiple of 81/512, 5962/6705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/512, 5962/6705 quickly i.e. 482922 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/512, 5962/6705 is 482922.

LCM(81/512, 5962/6705) = 482922

LCM of 81/512, 5962/6705

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 81/512,5962/6705

Given numbers are 81/512,5962/6705

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 81,5962

Least Common Multiple of Numerators i.e. LCM of 81,5962 is 482922.

GCF of Denominators means GCF of 512,6705 as per the given fractions.

GCF of 512,6705 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,5962

LCM of Fractions 81/512,5962/6705 is 482922

Given numbers has no common factors except 1. So, there LCM is their product i.e 482922

Least Common Multiple of 81,5962 with GCF Formula

Least Common Multiple of 81,5962 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 81,5962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,5962) = 1

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

GCF(81,5962) x common factors =1 x 1 = 1

LCM(81,5962) = ( 81 × 5962 ) / 1

LCM(81,5962) = 482922 / 1

LCM(81,5962) = 482922


Lets's calculate GCF of 512,6705

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 482922/1

Therefore the LCM of Fractions 81/512,5962/6705 is 482922

Greatest Common Factor of 512,6705 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,6705 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 6705

List of positive integer factors of 6705 that divides 6705 without a remainder.

1,3,5,9,15,45,149,447,745,1341,2235,6705

Greatest Common Factor

We found the factors 512,6705 . The biggest common factor number is the GCF number.
So the greatest common factor 512,6705 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 81/512, 5962/6705

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 81/512, 5962/6705?

Answer: LCM of Numerators as per given numbers 81/512, 5962/6705 is

LCM of Numerators i.e. for 81,5962 is 482922

GCF of denominators i.e. for 512,6705 is 1.

Thus, LCM of Fractions is 482922.Finally, LCM of Fractions for 81/512, 5962/6705 is 482922.