Least Common Multiple of 74/744, 4449/1798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 74/744, 4449/1798 quickly i.e. 329226/62 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 74/744, 4449/1798 is 329226/62.

LCM(74/744, 4449/1798) = 329226/62

LCM of 74/744, 4449/1798

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 74/744,4449/1798

Given numbers are 74/744,4449/1798

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 74,4449

Least Common Multiple of Numerators i.e. LCM of 74,4449 is 329226.

GCF of Denominators means GCF of 744,1798 as per the given fractions.

GCF of 744,1798 is 62 as it is the largest common factor for these numbers.

Lets's calculate LCM of 74,4449

LCM of Fractions 74/744,4449/1798 is 329226/62

Given numbers has no common factors except 1. So, there LCM is their product i.e 329226

Least Common Multiple of 74,4449 with GCF Formula

Least Common Multiple of 74,4449 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 74,4449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,4449) = 1

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

GCF(74,4449) x common factors =1 x 1 = 1

LCM(74,4449) = ( 74 × 4449 ) / 1

LCM(74,4449) = 329226 / 1

LCM(74,4449) = 329226


Lets's calculate GCF of 744,1798

2 744, 1798
31 372, 899
12, 29

∴ So the GCF of the given numbers is 2 x 31 = 62

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 329226/62

Therefore the LCM of Fractions 74/744,4449/1798 is 329226/62

Greatest Common Factor of 744,1798 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,1798 By Matching Biggest Common Factor Method

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Factors of 1798

List of positive integer factors of 1798 that divides 1798 without a remainder.

1,2,29,31,58,62,899,1798

Greatest Common Factor

We found the factors 744,1798 . The biggest common factor number is the GCF number.
So the greatest common factor 744,1798 is 62.


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 74/744, 4449/1798

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 74/744, 4449/1798?

Answer: LCM of Numerators as per given numbers 74/744, 4449/1798 is

LCM of Numerators i.e. for 74,4449 is 329226

GCF of denominators i.e. for 744,1798 is 62.

Thus, LCM of Fractions is 329226/62.Finally, LCM of Fractions for 74/744, 4449/1798 is 329226/62.