Least Common Multiple of 44/73, 361/13, 398/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 44/73, 361/13, 398/494 quickly i.e. 3160916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 44/73, 361/13, 398/494 is 3160916.

LCM(44/73, 361/13, 398/494) = 3160916

LCM of 44/73, 361/13, 398/494

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 44/73,361/13,398/494

Given numbers are 44/73,361/13,398/494

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 44,361,398

Least Common Multiple of Numerators i.e. LCM of 44,361,398 is 3160916.

GCF of Denominators means GCF of 73,13,494 as per the given fractions.

GCF of 73,13,494 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 44,361,398

LCM of Fractions 44/73,361/13,398/494 is 3160916

2 44, 361, 398
22, 361, 199

∴ So the LCM of the given numbers is 2 x 22 x 361 x 199 = 3160916

Least Common Multiple of 44,361,398 with GCF Formula

Least Common Multiple of 44,361,398 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 44,361,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(44,361,398) = 1

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

GCF(44,361,398) x common factors =1 x 2 = 2

LCM(44,361,398) = ( 44 × 361 × 398 ) / 2

LCM(44,361,398) = 6321832 / 2

LCM(44,361,398) = 3160916


Lets's calculate GCF of 73,13,494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3160916/1

Therefore the LCM of Fractions 44/73,361/13,398/494 is 3160916

Greatest Common Factor of 73,13,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 73,13,494 By Matching Biggest Common Factor Method

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 73,13,494 . The biggest common factor number is the GCF number.
So the greatest common factor 73,13,494 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 44/73, 361/13, 398/494

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 44/73, 361/13, 398/494?

Answer: LCM of Numerators as per given numbers 44/73, 361/13, 398/494 is

LCM of Numerators i.e. for 44,361,398 is 3160916

GCF of denominators i.e. for 73,13,494 is 1.

Thus, LCM of Fractions is 3160916.Finally, LCM of Fractions for 44/73, 361/13, 398/494 is 3160916.