Least Common Multiple of 82/365, 243/854, 180/941

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 82/365, 243/854, 180/941 quickly i.e. 199260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 82/365, 243/854, 180/941 is 199260.

LCM(82/365, 243/854, 180/941) = 199260

LCM of 82/365, 243/854, 180/941

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 82/365,243/854,180/941

Given numbers are 82/365,243/854,180/941

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 82,243,180

Least Common Multiple of Numerators i.e. LCM of 82,243,180 is 199260.

GCF of Denominators means GCF of 365,854,941 as per the given fractions.

GCF of 365,854,941 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 82,243,180

LCM of Fractions 82/365,243/854,180/941 is 199260

2 82, 243, 180
3 41, 243, 90
3 41, 81, 30
41, 27, 10

∴ So the LCM of the given numbers is 2 x 3 x 3 x 41 x 27 x 10 = 199260

Least Common Multiple of 82,243,180 with GCF Formula

Least Common Multiple of 82,243,180 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 82,243,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,243,180) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(82,243,180) x common factors =1 x 18 = 18

LCM(82,243,180) = ( 82 × 243 × 180 ) / 18

LCM(82,243,180) = 3586680 / 18

LCM(82,243,180) = 199260


Lets's calculate GCF of 365,854,941

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 199260/1

Therefore the LCM of Fractions 82/365,243/854,180/941 is 199260

Greatest Common Factor of 365,854,941 By Matching Biggest Common Factor Method

Greatest Common Factor of 365,854,941 By Matching Biggest Common Factor Method

Factors of 365

List of positive integer factors of 365 that divides 365 without a remainder.

1,5,73,365

Factors of 854

List of positive integer factors of 854 that divides 854 without a remainder.

1,2,7,14,61,122,427,854

Factors of 941

List of positive integer factors of 941 that divides 941 without a remainder.

1,941

Greatest Common Factor

We found the factors 365,854,941 . The biggest common factor number is the GCF number.
So the greatest common factor 365,854,941 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 82/365, 243/854, 180/941

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 82/365, 243/854, 180/941?

Answer: LCM of Numerators as per given numbers 82/365, 243/854, 180/941 is

LCM of Numerators i.e. for 82,243,180 is 199260

GCF of denominators i.e. for 365,854,941 is 1.

Thus, LCM of Fractions is 199260.Finally, LCM of Fractions for 82/365, 243/854, 180/941 is 199260.