Least Common Multiple of 844/46, 943/44, 539/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 844/46, 943/44, 539/458 quickly i.e. 214492894 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 844/46, 943/44, 539/458 is 214492894.

LCM(844/46, 943/44, 539/458) = 214492894

LCM of 844/46, 943/44, 539/458

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 844/46,943/44,539/458

Given numbers are 844/46,943/44,539/458

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 844,943,539

Least Common Multiple of Numerators i.e. LCM of 844,943,539 is 428985788.

GCF of Denominators means GCF of 46,44,458 as per the given fractions.

GCF of 46,44,458 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 844,943,539

LCM of Fractions 844/46,943/44,539/458 is 214492894

Given numbers has no common factors except 1. So, there LCM is their product i.e 428985788

Least Common Multiple of 844,943,539 with GCF Formula

Least Common Multiple of 844,943,539 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 844,943,539 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(844,943,539) = 1

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

GCF(844,943,539) x common factors =1 x 1 = 1

LCM(844,943,539) = ( 844 × 943 × 539 ) / 1

LCM(844,943,539) = 428985788 / 1

LCM(844,943,539) = 428985788


Lets's calculate GCF of 46,44,458

2 46, 44, 458
23, 22, 229

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 428985788/2

Therefore the LCM of Fractions 844/46,943/44,539/458 is 214492894

Greatest Common Factor of 46,44,458 By Matching Biggest Common Factor Method

Greatest Common Factor of 46,44,458 By Matching Biggest Common Factor Method

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Factors of 44

List of positive integer factors of 44 that divides 44 without a remainder.

1,2,4,11,22,44

Factors of 458

List of positive integer factors of 458 that divides 458 without a remainder.

1,2,229,458

Greatest Common Factor

We found the factors 46,44,458 . The biggest common factor number is the GCF number.
So the greatest common factor 46,44,458 is 2.


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Frequently Asked Questions on Fractional LCM of 844/46, 943/44, 539/458

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 844/46, 943/44, 539/458?

Answer: LCM of Numerators as per given numbers 844/46, 943/44, 539/458 is

LCM of Numerators i.e. for 844,943,539 is 428985788

GCF of denominators i.e. for 46,44,458 is 2.

Thus, LCM of Fractions is 214492894.Finally, LCM of Fractions for 844/46, 943/44, 539/458 is 214492894.