Least Common Multiple of 4338/225, 4449/984

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 4338/225, 4449/984 quickly i.e. 2144418 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 4338/225, 4449/984 is 2144418.

LCM(4338/225, 4449/984) = 2144418

LCM of 4338/225, 4449/984

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 4338/225,4449/984

Given numbers are 4338/225,4449/984

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 4338,4449

Least Common Multiple of Numerators i.e. LCM of 4338,4449 is 6433254.

GCF of Denominators means GCF of 225,984 as per the given fractions.

GCF of 225,984 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 4338,4449

LCM of Fractions 4338/225,4449/984 is 2144418

3 4338, 4449
1446, 1483

∴ So the LCM of the given numbers is 3 x 1446 x 1483 = 6433254

Least Common Multiple of 4338,4449 with GCF Formula

Least Common Multiple of 4338,4449 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 4338,4449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(4338,4449) = 3

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

GCF(4338,4449) x common factors =3 x 1 = 3

LCM(4338,4449) = ( 4338 × 4449 ) / 3

LCM(4338,4449) = 19299762 / 3

LCM(4338,4449) = 6433254


Lets's calculate GCF of 225,984

3 225, 984
75, 328

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6433254/3

Therefore the LCM of Fractions 4338/225,4449/984 is 2144418

Greatest Common Factor of 225,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 225,984 By Matching Biggest Common Factor Method

Factors of 225

List of positive integer factors of 225 that divides 225 without a remainder.

1,3,5,9,15,25,45,75,225

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 225,984 . The biggest common factor number is the GCF number.
So the greatest common factor 225,984 is 3.


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 4338/225, 4449/984

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 4338/225, 4449/984?

Answer: LCM of Numerators as per given numbers 4338/225, 4449/984 is

LCM of Numerators i.e. for 4338,4449 is 6433254

GCF of denominators i.e. for 225,984 is 3.

Thus, LCM of Fractions is 2144418.Finally, LCM of Fractions for 4338/225, 4449/984 is 2144418.