Least Common Multiple of 827/66, 272/85, 535/33

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 827/66, 272/85, 535/33 quickly i.e. 120345040 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 827/66, 272/85, 535/33 is 120345040.

LCM(827/66, 272/85, 535/33) = 120345040

LCM of 827/66, 272/85, 535/33

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 827/66,272/85,535/33

Given numbers are 827/66,272/85,535/33

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 827,272,535

Least Common Multiple of Numerators i.e. LCM of 827,272,535 is 120345040.

GCF of Denominators means GCF of 66,85,33 as per the given fractions.

GCF of 66,85,33 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 827,272,535

LCM of Fractions 827/66,272/85,535/33 is 120345040

Given numbers has no common factors except 1. So, there LCM is their product i.e 120345040

Least Common Multiple of 827,272,535 with GCF Formula

Least Common Multiple of 827,272,535 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 827,272,535 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,272,535) = 1

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

GCF(827,272,535) x common factors =1 x 1 = 1

LCM(827,272,535) = ( 827 × 272 × 535 ) / 1

LCM(827,272,535) = 120345040 / 1

LCM(827,272,535) = 120345040


Lets's calculate GCF of 66,85,33

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120345040/1

Therefore the LCM of Fractions 827/66,272/85,535/33 is 120345040

Greatest Common Factor of 66,85,33 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,85,33 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Greatest Common Factor

We found the factors 66,85,33 . The biggest common factor number is the GCF number.
So the greatest common factor 66,85,33 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 827/66, 272/85, 535/33

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 827/66, 272/85, 535/33?

Answer: LCM of Numerators as per given numbers 827/66, 272/85, 535/33 is

LCM of Numerators i.e. for 827,272,535 is 120345040

GCF of denominators i.e. for 66,85,33 is 1.

Thus, LCM of Fractions is 120345040.Finally, LCM of Fractions for 827/66, 272/85, 535/33 is 120345040.