Least Common Multiple of 33/188, 64/511, 208/690

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/188, 64/511, 208/690 quickly i.e. 27456 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/188, 64/511, 208/690 is 27456.

LCM(33/188, 64/511, 208/690) = 27456

LCM of 33/188, 64/511, 208/690

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 33/188,64/511,208/690

Given numbers are 33/188,64/511,208/690

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 33,64,208

Least Common Multiple of Numerators i.e. LCM of 33,64,208 is 27456.

GCF of Denominators means GCF of 188,511,690 as per the given fractions.

GCF of 188,511,690 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,64,208

LCM of Fractions 33/188,64/511,208/690 is 27456

2 33, 64, 208
2 33, 32, 104
2 33, 16, 52
2 33, 8, 26
33, 4, 13

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 33 x 4 x 13 = 27456

Least Common Multiple of 33,64,208 with GCF Formula

Least Common Multiple of 33,64,208 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 33,64,208 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,64,208) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(33,64,208) x common factors =1 x 16 = 16

LCM(33,64,208) = ( 33 × 64 × 208 ) / 16

LCM(33,64,208) = 439296 / 16

LCM(33,64,208) = 27456


Lets's calculate GCF of 188,511,690

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 27456/1

Therefore the LCM of Fractions 33/188,64/511,208/690 is 27456

Greatest Common Factor of 188,511,690 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,511,690 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 511

List of positive integer factors of 511 that divides 511 without a remainder.

1,7,73,511

Factors of 690

List of positive integer factors of 690 that divides 690 without a remainder.

1,2,3,5,6,10,15,23,30,46,69,115,138,230,345,690

Greatest Common Factor

We found the factors 188,511,690 . The biggest common factor number is the GCF number.
So the greatest common factor 188,511,690 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 33/188, 64/511, 208/690

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 33/188, 64/511, 208/690?

Answer: LCM of Numerators as per given numbers 33/188, 64/511, 208/690 is

LCM of Numerators i.e. for 33,64,208 is 27456

GCF of denominators i.e. for 188,511,690 is 1.

Thus, LCM of Fractions is 27456.Finally, LCM of Fractions for 33/188, 64/511, 208/690 is 27456.