Least Common Multiple of 29/80, 33/126, 843/225

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/80, 33/126, 843/225 quickly i.e. 268917 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/80, 33/126, 843/225 is 268917.

LCM(29/80, 33/126, 843/225) = 268917

LCM of 29/80, 33/126, 843/225

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 29/80,33/126,843/225

Given numbers are 29/80,33/126,843/225

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 29,33,843

Least Common Multiple of Numerators i.e. LCM of 29,33,843 is 268917.

GCF of Denominators means GCF of 80,126,225 as per the given fractions.

GCF of 80,126,225 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,33,843

LCM of Fractions 29/80,33/126,843/225 is 268917

3 29, 33, 843
29, 11, 281

∴ So the LCM of the given numbers is 3 x 29 x 11 x 281 = 268917

Least Common Multiple of 29,33,843 with GCF Formula

Least Common Multiple of 29,33,843 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 29,33,843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,33,843) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(29,33,843) x common factors =1 x 3 = 3

LCM(29,33,843) = ( 29 × 33 × 843 ) / 3

LCM(29,33,843) = 806751 / 3

LCM(29,33,843) = 268917


Lets's calculate GCF of 80,126,225

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 268917/1

Therefore the LCM of Fractions 29/80,33/126,843/225 is 268917

Greatest Common Factor of 80,126,225 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,126,225 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Greatest Common Factor

We found the factors 80,126,225 . The biggest common factor number is the GCF number.
So the greatest common factor 80,126,225 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 29/80, 33/126, 843/225

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 29/80, 33/126, 843/225?

Answer: LCM of Numerators as per given numbers 29/80, 33/126, 843/225 is

LCM of Numerators i.e. for 29,33,843 is 268917

GCF of denominators i.e. for 80,126,225 is 1.

Thus, LCM of Fractions is 268917.Finally, LCM of Fractions for 29/80, 33/126, 843/225 is 268917.