Least Common Multiple of 83/320, 727/641, 532/533

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/320, 727/641, 532/533 quickly i.e. 32101412 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/320, 727/641, 532/533 is 32101412.

LCM(83/320, 727/641, 532/533) = 32101412

LCM of 83/320, 727/641, 532/533

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 83/320,727/641,532/533

Given numbers are 83/320,727/641,532/533

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 83,727,532

Least Common Multiple of Numerators i.e. LCM of 83,727,532 is 32101412.

GCF of Denominators means GCF of 320,641,533 as per the given fractions.

GCF of 320,641,533 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,727,532

LCM of Fractions 83/320,727/641,532/533 is 32101412

Given numbers has no common factors except 1. So, there LCM is their product i.e 32101412

Least Common Multiple of 83,727,532 with GCF Formula

Least Common Multiple of 83,727,532 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 83,727,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,727,532) = 1

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

GCF(83,727,532) x common factors =1 x 1 = 1

LCM(83,727,532) = ( 83 × 727 × 532 ) / 1

LCM(83,727,532) = 32101412 / 1

LCM(83,727,532) = 32101412


Lets's calculate GCF of 320,641,533

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 32101412/1

Therefore the LCM of Fractions 83/320,727/641,532/533 is 32101412

Greatest Common Factor of 320,641,533 By Matching Biggest Common Factor Method

Greatest Common Factor of 320,641,533 By Matching Biggest Common Factor Method

Factors of 320

List of positive integer factors of 320 that divides 320 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,160,320

Factors of 641

List of positive integer factors of 641 that divides 641 without a remainder.

1,641

Factors of 533

List of positive integer factors of 533 that divides 533 without a remainder.

1,13,41,533

Greatest Common Factor

We found the factors 320,641,533 . The biggest common factor number is the GCF number.
So the greatest common factor 320,641,533 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/320, 727/641, 532/533

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 83/320, 727/641, 532/533?

Answer: LCM of Numerators as per given numbers 83/320, 727/641, 532/533 is

LCM of Numerators i.e. for 83,727,532 is 32101412

GCF of denominators i.e. for 320,641,533 is 1.

Thus, LCM of Fractions is 32101412.Finally, LCM of Fractions for 83/320, 727/641, 532/533 is 32101412.