Least Common Multiple of 384/744, 996/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 384/744, 996/271 quickly i.e. 31872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 384/744, 996/271 is 31872.

LCM(384/744, 996/271) = 31872

LCM of 384/744, 996/271

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 384/744,996/271

Given numbers are 384/744,996/271

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 384,996

Least Common Multiple of Numerators i.e. LCM of 384,996 is 31872.

GCF of Denominators means GCF of 744,271 as per the given fractions.

GCF of 744,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 384,996

LCM of Fractions 384/744,996/271 is 31872

2 384, 996
2 192, 498
3 96, 249
32, 83

∴ So the LCM of the given numbers is 2 x 2 x 3 x 32 x 83 = 31872

Least Common Multiple of 384,996 with GCF Formula

Least Common Multiple of 384,996 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 384,996 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(384,996) = 12

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

GCF(384,996) x common factors =12 x 1 = 12

LCM(384,996) = ( 384 × 996 ) / 12

LCM(384,996) = 382464 / 12

LCM(384,996) = 31872


Lets's calculate GCF of 744,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31872/1

Therefore the LCM of Fractions 384/744,996/271 is 31872

Greatest Common Factor of 744,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 744,271 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 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 744,271 . The biggest common factor number is the GCF number.
So the greatest common factor 744,271 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 384/744, 996/271

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 384/744, 996/271?

Answer: LCM of Numerators as per given numbers 384/744, 996/271 is

LCM of Numerators i.e. for 384,996 is 31872

GCF of denominators i.e. for 744,271 is 1.

Thus, LCM of Fractions is 31872.Finally, LCM of Fractions for 384/744, 996/271 is 31872.