Least Common Multiple of 33/44, 29/69, 214/281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/44, 29/69, 214/281 quickly i.e. 204798 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/44, 29/69, 214/281 is 204798.

LCM(33/44, 29/69, 214/281) = 204798

LCM of 33/44, 29/69, 214/281

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 33/44,29/69,214/281

Given numbers are 33/44,29/69,214/281

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 33,29,214

Least Common Multiple of Numerators i.e. LCM of 33,29,214 is 204798.

GCF of Denominators means GCF of 44,69,281 as per the given fractions.

GCF of 44,69,281 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,29,214

LCM of Fractions 33/44,29/69,214/281 is 204798

Given numbers has no common factors except 1. So, there LCM is their product i.e 204798

Least Common Multiple of 33,29,214 with GCF Formula

Least Common Multiple of 33,29,214 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 33,29,214 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,29,214) = 1

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

GCF(33,29,214) x common factors =1 x 1 = 1

LCM(33,29,214) = ( 33 × 29 × 214 ) / 1

LCM(33,29,214) = 204798 / 1

LCM(33,29,214) = 204798


Lets's calculate GCF of 44,69,281

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 204798/1

Therefore the LCM of Fractions 33/44,29/69,214/281 is 204798

Greatest Common Factor of 44,69,281 By Matching Biggest Common Factor Method

Greatest Common Factor of 44,69,281 By Matching Biggest Common Factor Method

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Greatest Common Factor

We found the factors 44,69,281 . The biggest common factor number is the GCF number.
So the greatest common factor 44,69,281 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 33/44, 29/69, 214/281

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 33/44, 29/69, 214/281?

Answer: LCM of Numerators as per given numbers 33/44, 29/69, 214/281 is

LCM of Numerators i.e. for 33,29,214 is 204798

GCF of denominators i.e. for 44,69,281 is 1.

Thus, LCM of Fractions is 204798.Finally, LCM of Fractions for 33/44, 29/69, 214/281 is 204798.