Least Common Multiple of 33/689, 108/527, 441/268

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/689, 108/527, 441/268 quickly i.e. 58212 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/689, 108/527, 441/268 is 58212.

LCM(33/689, 108/527, 441/268) = 58212

LCM of 33/689, 108/527, 441/268

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 33/689,108/527,441/268

Given numbers are 33/689,108/527,441/268

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 33,108,441

Least Common Multiple of Numerators i.e. LCM of 33,108,441 is 58212.

GCF of Denominators means GCF of 689,527,268 as per the given fractions.

GCF of 689,527,268 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,108,441

LCM of Fractions 33/689,108/527,441/268 is 58212

3 33, 108, 441
3 11, 36, 147
11, 12, 49

∴ So the LCM of the given numbers is 3 x 3 x 11 x 12 x 49 = 58212

Least Common Multiple of 33,108,441 with GCF Formula

Least Common Multiple of 33,108,441 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 33,108,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,108,441) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(33,108,441) x common factors =3 x 9 = 27

LCM(33,108,441) = ( 33 × 108 × 441 ) / 27

LCM(33,108,441) = 1571724 / 27

LCM(33,108,441) = 58212


Lets's calculate GCF of 689,527,268

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 58212/1

Therefore the LCM of Fractions 33/689,108/527,441/268 is 58212

Greatest Common Factor of 689,527,268 By Matching Biggest Common Factor Method

Greatest Common Factor of 689,527,268 By Matching Biggest Common Factor Method

Factors of 689

List of positive integer factors of 689 that divides 689 without a remainder.

1,13,53,689

Factors of 527

List of positive integer factors of 527 that divides 527 without a remainder.

1,17,31,527

Factors of 268

List of positive integer factors of 268 that divides 268 without a remainder.

1,2,4,67,134,268

Greatest Common Factor

We found the factors 689,527,268 . The biggest common factor number is the GCF number.
So the greatest common factor 689,527,268 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 33/689, 108/527, 441/268

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 33/689, 108/527, 441/268?

Answer: LCM of Numerators as per given numbers 33/689, 108/527, 441/268 is

LCM of Numerators i.e. for 33,108,441 is 58212

GCF of denominators i.e. for 689,527,268 is 1.

Thus, LCM of Fractions is 58212.Finally, LCM of Fractions for 33/689, 108/527, 441/268 is 58212.