Least Common Multiple of 512/710, 1277/6795

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/710, 1277/6795 quickly i.e. 653824/5 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/710, 1277/6795 is 653824/5.

LCM(512/710, 1277/6795) = 653824/5

LCM of 512/710, 1277/6795

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 512/710,1277/6795

Given numbers are 512/710,1277/6795

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 512,1277

Least Common Multiple of Numerators i.e. LCM of 512,1277 is 653824.

GCF of Denominators means GCF of 710,6795 as per the given fractions.

GCF of 710,6795 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,1277

LCM of Fractions 512/710,1277/6795 is 653824/5

Given numbers has no common factors except 1. So, there LCM is their product i.e 653824

Least Common Multiple of 512,1277 with GCF Formula

Least Common Multiple of 512,1277 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 512,1277 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,1277) = 1

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

GCF(512,1277) x common factors =1 x 1 = 1

LCM(512,1277) = ( 512 × 1277 ) / 1

LCM(512,1277) = 653824 / 1

LCM(512,1277) = 653824


Lets's calculate GCF of 710,6795

5 710, 6795
142, 1359

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 653824/5

Therefore the LCM of Fractions 512/710,1277/6795 is 653824/5

Greatest Common Factor of 710,6795 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,6795 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 6795

List of positive integer factors of 6795 that divides 6795 without a remainder.

1,3,5,9,15,45,151,453,755,1359,2265,6795

Greatest Common Factor

We found the factors 710,6795 . The biggest common factor number is the GCF number.
So the greatest common factor 710,6795 is 5.


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 512/710, 1277/6795

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 512/710, 1277/6795?

Answer: LCM of Numerators as per given numbers 512/710, 1277/6795 is

LCM of Numerators i.e. for 512,1277 is 653824

GCF of denominators i.e. for 710,6795 is 5.

Thus, LCM of Fractions is 653824/5.Finally, LCM of Fractions for 512/710, 1277/6795 is 653824/5.