Least Common Multiple of 824/128, 645/711

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 824/128, 645/711 quickly i.e. 531480 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 824/128, 645/711 is 531480.

LCM(824/128, 645/711) = 531480

LCM of 824/128, 645/711

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 824/128,645/711

Given numbers are 824/128,645/711

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 824,645

Least Common Multiple of Numerators i.e. LCM of 824,645 is 531480.

GCF of Denominators means GCF of 128,711 as per the given fractions.

GCF of 128,711 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 824,645

LCM of Fractions 824/128,645/711 is 531480

Given numbers has no common factors except 1. So, there LCM is their product i.e 531480

Least Common Multiple of 824,645 with GCF Formula

Least Common Multiple of 824,645 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 824,645 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(824,645) = 1

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

GCF(824,645) x common factors =1 x 1 = 1

LCM(824,645) = ( 824 × 645 ) / 1

LCM(824,645) = 531480 / 1

LCM(824,645) = 531480


Lets's calculate GCF of 128,711

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 531480/1

Therefore the LCM of Fractions 824/128,645/711 is 531480

Greatest Common Factor of 128,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 128,711 By Matching Biggest Common Factor Method

Factors of 128

List of positive integer factors of 128 that divides 128 without a remainder.

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

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 128,711 . The biggest common factor number is the GCF number.
So the greatest common factor 128,711 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 824/128, 645/711

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 824/128, 645/711?

Answer: LCM of Numerators as per given numbers 824/128, 645/711 is

LCM of Numerators i.e. for 824,645 is 531480

GCF of denominators i.e. for 128,711 is 1.

Thus, LCM of Fractions is 531480.Finally, LCM of Fractions for 824/128, 645/711 is 531480.