Least Common Multiple of 38/324, 128/330, 303/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 38/324, 128/330, 303/988 quickly i.e. 368448 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 38/324, 128/330, 303/988 is 368448.

LCM(38/324, 128/330, 303/988) = 368448

LCM of 38/324, 128/330, 303/988

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 38/324,128/330,303/988

Given numbers are 38/324,128/330,303/988

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 38,128,303

Least Common Multiple of Numerators i.e. LCM of 38,128,303 is 736896.

GCF of Denominators means GCF of 324,330,988 as per the given fractions.

GCF of 324,330,988 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 38,128,303

LCM of Fractions 38/324,128/330,303/988 is 368448

2 38, 128, 303
19, 64, 303

∴ So the LCM of the given numbers is 2 x 19 x 64 x 303 = 736896

Least Common Multiple of 38,128,303 with GCF Formula

Least Common Multiple of 38,128,303 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 38,128,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,128,303) = 1

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

GCF(38,128,303) x common factors =1 x 2 = 2

LCM(38,128,303) = ( 38 × 128 × 303 ) / 2

LCM(38,128,303) = 1473792 / 2

LCM(38,128,303) = 736896


Lets's calculate GCF of 324,330,988

2 324, 330, 988
162, 165, 494

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 736896/2

Therefore the LCM of Fractions 38/324,128/330,303/988 is 368448

Greatest Common Factor of 324,330,988 By Matching Biggest Common Factor Method

Greatest Common Factor of 324,330,988 By Matching Biggest Common Factor Method

Factors of 324

List of positive integer factors of 324 that divides 324 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,81,108,162,324

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Greatest Common Factor

We found the factors 324,330,988 . The biggest common factor number is the GCF number.
So the greatest common factor 324,330,988 is 2.


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 38/324, 128/330, 303/988

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 38/324, 128/330, 303/988?

Answer: LCM of Numerators as per given numbers 38/324, 128/330, 303/988 is

LCM of Numerators i.e. for 38,128,303 is 736896

GCF of denominators i.e. for 324,330,988 is 2.

Thus, LCM of Fractions is 368448.Finally, LCM of Fractions for 38/324, 128/330, 303/988 is 368448.