Least Common Multiple of 29/116, 27/224, 814/221

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/116, 27/224, 814/221 quickly i.e. 637362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/116, 27/224, 814/221 is 637362.

LCM(29/116, 27/224, 814/221) = 637362

LCM of 29/116, 27/224, 814/221

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 29/116,27/224,814/221

Given numbers are 29/116,27/224,814/221

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 29,27,814

Least Common Multiple of Numerators i.e. LCM of 29,27,814 is 637362.

GCF of Denominators means GCF of 116,224,221 as per the given fractions.

GCF of 116,224,221 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,27,814

LCM of Fractions 29/116,27/224,814/221 is 637362

Given numbers has no common factors except 1. So, there LCM is their product i.e 637362

Least Common Multiple of 29,27,814 with GCF Formula

Least Common Multiple of 29,27,814 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 29,27,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,27,814) = 1

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

GCF(29,27,814) x common factors =1 x 1 = 1

LCM(29,27,814) = ( 29 × 27 × 814 ) / 1

LCM(29,27,814) = 637362 / 1

LCM(29,27,814) = 637362


Lets's calculate GCF of 116,224,221

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 637362/1

Therefore the LCM of Fractions 29/116,27/224,814/221 is 637362

Greatest Common Factor of 116,224,221 By Matching Biggest Common Factor Method

Greatest Common Factor of 116,224,221 By Matching Biggest Common Factor Method

Factors of 116

List of positive integer factors of 116 that divides 116 without a remainder.

1,2,4,29,58,116

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 221

List of positive integer factors of 221 that divides 221 without a remainder.

1,13,17,221

Greatest Common Factor

We found the factors 116,224,221 . The biggest common factor number is the GCF number.
So the greatest common factor 116,224,221 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 29/116, 27/224, 814/221

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 29/116, 27/224, 814/221?

Answer: LCM of Numerators as per given numbers 29/116, 27/224, 814/221 is

LCM of Numerators i.e. for 29,27,814 is 637362

GCF of denominators i.e. for 116,224,221 is 1.

Thus, LCM of Fractions is 637362.Finally, LCM of Fractions for 29/116, 27/224, 814/221 is 637362.