Least Common Multiple of 29/202, 30/866, 481/224

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 29/202, 30/866, 481/224 quickly i.e. 209235 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 29/202, 30/866, 481/224 is 209235.

LCM(29/202, 30/866, 481/224) = 209235

LCM of 29/202, 30/866, 481/224

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 29/202,30/866,481/224

Given numbers are 29/202,30/866,481/224

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 29,30,481

Least Common Multiple of Numerators i.e. LCM of 29,30,481 is 418470.

GCF of Denominators means GCF of 202,866,224 as per the given fractions.

GCF of 202,866,224 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 29,30,481

LCM of Fractions 29/202,30/866,481/224 is 209235

Given numbers has no common factors except 1. So, there LCM is their product i.e 418470

Least Common Multiple of 29,30,481 with GCF Formula

Least Common Multiple of 29,30,481 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 29,30,481 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,30,481) = 1

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

GCF(29,30,481) x common factors =1 x 1 = 1

LCM(29,30,481) = ( 29 × 30 × 481 ) / 1

LCM(29,30,481) = 418470 / 1

LCM(29,30,481) = 418470


Lets's calculate GCF of 202,866,224

2 202, 866, 224
101, 433, 112

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 418470/2

Therefore the LCM of Fractions 29/202,30/866,481/224 is 209235

Greatest Common Factor of 202,866,224 By Matching Biggest Common Factor Method

Greatest Common Factor of 202,866,224 By Matching Biggest Common Factor Method

Factors of 202

List of positive integer factors of 202 that divides 202 without a remainder.

1,2,101,202

Factors of 866

List of positive integer factors of 866 that divides 866 without a remainder.

1,2,433,866

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

Greatest Common Factor

We found the factors 202,866,224 . The biggest common factor number is the GCF number.
So the greatest common factor 202,866,224 is 2.


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 29/202, 30/866, 481/224

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 29/202, 30/866, 481/224?

Answer: LCM of Numerators as per given numbers 29/202, 30/866, 481/224 is

LCM of Numerators i.e. for 29,30,481 is 418470

GCF of denominators i.e. for 202,866,224 is 2.

Thus, LCM of Fractions is 209235.Finally, LCM of Fractions for 29/202, 30/866, 481/224 is 209235.