Least Common Multiple of 40/361, 29/800, 198/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 40/361, 29/800, 198/161 quickly i.e. 114840 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 40/361, 29/800, 198/161 is 114840.

LCM(40/361, 29/800, 198/161) = 114840

LCM of 40/361, 29/800, 198/161

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 40/361,29/800,198/161

Given numbers are 40/361,29/800,198/161

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 40,29,198

Least Common Multiple of Numerators i.e. LCM of 40,29,198 is 114840.

GCF of Denominators means GCF of 361,800,161 as per the given fractions.

GCF of 361,800,161 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 40,29,198

LCM of Fractions 40/361,29/800,198/161 is 114840

2 40, 29, 198
20, 29, 99

∴ So the LCM of the given numbers is 2 x 20 x 29 x 99 = 114840

Least Common Multiple of 40,29,198 with GCF Formula

Least Common Multiple of 40,29,198 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 40,29,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,29,198) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(40,29,198) x common factors =1 x 2 = 2

LCM(40,29,198) = ( 40 × 29 × 198 ) / 2

LCM(40,29,198) = 229680 / 2

LCM(40,29,198) = 114840


Lets's calculate GCF of 361,800,161

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 114840/1

Therefore the LCM of Fractions 40/361,29/800,198/161 is 114840

Greatest Common Factor of 361,800,161 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,800,161 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 800

List of positive integer factors of 800 that divides 800 without a remainder.

1,2,4,5,8,10,16,20,25,32,40,50,80,100,160,200,400,800

Factors of 161

List of positive integer factors of 161 that divides 161 without a remainder.

1,7,23,161

Greatest Common Factor

We found the factors 361,800,161 . The biggest common factor number is the GCF number.
So the greatest common factor 361,800,161 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 40/361, 29/800, 198/161

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 40/361, 29/800, 198/161?

Answer: LCM of Numerators as per given numbers 40/361, 29/800, 198/161 is

LCM of Numerators i.e. for 40,29,198 is 114840

GCF of denominators i.e. for 361,800,161 is 1.

Thus, LCM of Fractions is 114840.Finally, LCM of Fractions for 40/361, 29/800, 198/161 is 114840.