Least Common Multiple of 732/27, 384/1990

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 732/27, 384/1990 quickly i.e. 23424 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 732/27, 384/1990 is 23424.

LCM(732/27, 384/1990) = 23424

LCM of 732/27, 384/1990

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 732/27,384/1990

Given numbers are 732/27,384/1990

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 732,384

Least Common Multiple of Numerators i.e. LCM of 732,384 is 23424.

GCF of Denominators means GCF of 27,1990 as per the given fractions.

GCF of 27,1990 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 732,384

LCM of Fractions 732/27,384/1990 is 23424

2 732, 384
2 366, 192
3 183, 96
61, 32

∴ So the LCM of the given numbers is 2 x 2 x 3 x 61 x 32 = 23424

Least Common Multiple of 732,384 with GCF Formula

Least Common Multiple of 732,384 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 732,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,384) = 12

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

GCF(732,384) x common factors =12 x 1 = 12

LCM(732,384) = ( 732 × 384 ) / 12

LCM(732,384) = 281088 / 12

LCM(732,384) = 23424


Lets's calculate GCF of 27,1990

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23424/1

Therefore the LCM of Fractions 732/27,384/1990 is 23424

Greatest Common Factor of 27,1990 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,1990 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 1990

List of positive integer factors of 1990 that divides 1990 without a remainder.

1,2,5,10,199,398,995,1990

Greatest Common Factor

We found the factors 27,1990 . The biggest common factor number is the GCF number.
So the greatest common factor 27,1990 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 732/27, 384/1990

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 732/27, 384/1990?

Answer: LCM of Numerators as per given numbers 732/27, 384/1990 is

LCM of Numerators i.e. for 732,384 is 23424

GCF of denominators i.e. for 27,1990 is 1.

Thus, LCM of Fractions is 23424.Finally, LCM of Fractions for 732/27, 384/1990 is 23424.