Least Common Multiple of 674/38, 444/4989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 674/38, 444/4989 quickly i.e. 149628 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 674/38, 444/4989 is 149628.

LCM(674/38, 444/4989) = 149628

LCM of 674/38, 444/4989

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 674/38,444/4989

Given numbers are 674/38,444/4989

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 674,444

Least Common Multiple of Numerators i.e. LCM of 674,444 is 149628.

GCF of Denominators means GCF of 38,4989 as per the given fractions.

GCF of 38,4989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 674,444

LCM of Fractions 674/38,444/4989 is 149628

2 674, 444
337, 222

∴ So the LCM of the given numbers is 2 x 337 x 222 = 149628

Least Common Multiple of 674,444 with GCF Formula

Least Common Multiple of 674,444 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 674,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(674,444) = 2

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

GCF(674,444) x common factors =2 x 1 = 2

LCM(674,444) = ( 674 × 444 ) / 2

LCM(674,444) = 299256 / 2

LCM(674,444) = 149628


Lets's calculate GCF of 38,4989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 149628/1

Therefore the LCM of Fractions 674/38,444/4989 is 149628

Greatest Common Factor of 38,4989 By Matching Biggest Common Factor Method

Greatest Common Factor of 38,4989 By Matching Biggest Common Factor Method

Factors of 38

List of positive integer factors of 38 that divides 38 without a remainder.

1,2,19,38

Factors of 4989

List of positive integer factors of 4989 that divides 4989 without a remainder.

1,3,1663,4989

Greatest Common Factor

We found the factors 38,4989 . The biggest common factor number is the GCF number.
So the greatest common factor 38,4989 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 674/38, 444/4989

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 674/38, 444/4989?

Answer: LCM of Numerators as per given numbers 674/38, 444/4989 is

LCM of Numerators i.e. for 674,444 is 149628

GCF of denominators i.e. for 38,4989 is 1.

Thus, LCM of Fractions is 149628.Finally, LCM of Fractions for 674/38, 444/4989 is 149628.