Least Common Multiple of 44/159, 82/904, 811/331

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 44/159, 82/904, 811/331 quickly i.e. 1463044 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/159, 82/904, 811/331 is 1463044.

LCM(44/159, 82/904, 811/331) = 1463044

LCM of 44/159, 82/904, 811/331

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 44/159,82/904,811/331

Given numbers are 44/159,82/904,811/331

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 44,82,811

Least Common Multiple of Numerators i.e. LCM of 44,82,811 is 1463044.

GCF of Denominators means GCF of 159,904,331 as per the given fractions.

GCF of 159,904,331 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,82,811

LCM of Fractions 44/159,82/904,811/331 is 1463044

2 44, 82, 811
22, 41, 811

∴ So the LCM of the given numbers is 2 x 22 x 41 x 811 = 1463044

Least Common Multiple of 44,82,811 with GCF Formula

Least Common Multiple of 44,82,811 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 44,82,811 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,82,811) = 1

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

GCF(44,82,811) x common factors =1 x 2 = 2

LCM(44,82,811) = ( 44 × 82 × 811 ) / 2

LCM(44,82,811) = 2926088 / 2

LCM(44,82,811) = 1463044


Lets's calculate GCF of 159,904,331

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1463044/1

Therefore the LCM of Fractions 44/159,82/904,811/331 is 1463044

Greatest Common Factor of 159,904,331 By Matching Biggest Common Factor Method

Greatest Common Factor of 159,904,331 By Matching Biggest Common Factor Method

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 904

List of positive integer factors of 904 that divides 904 without a remainder.

1,2,4,8,113,226,452,904

Factors of 331

List of positive integer factors of 331 that divides 331 without a remainder.

1,331

Greatest Common Factor

We found the factors 159,904,331 . The biggest common factor number is the GCF number.
So the greatest common factor 159,904,331 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 44/159, 82/904, 811/331

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 44/159, 82/904, 811/331?

Answer: LCM of Numerators as per given numbers 44/159, 82/904, 811/331 is

LCM of Numerators i.e. for 44,82,811 is 1463044

GCF of denominators i.e. for 159,904,331 is 1.

Thus, LCM of Fractions is 1463044.Finally, LCM of Fractions for 44/159, 82/904, 811/331 is 1463044.