Least Common Multiple of 729/19, 812/9932

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 729/19, 812/9932 quickly i.e. 591948 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 729/19, 812/9932 is 591948.

LCM(729/19, 812/9932) = 591948

LCM of 729/19, 812/9932

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 729/19,812/9932

Given numbers are 729/19,812/9932

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 729,812

Least Common Multiple of Numerators i.e. LCM of 729,812 is 591948.

GCF of Denominators means GCF of 19,9932 as per the given fractions.

GCF of 19,9932 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 729,812

LCM of Fractions 729/19,812/9932 is 591948

Given numbers has no common factors except 1. So, there LCM is their product i.e 591948

Least Common Multiple of 729,812 with GCF Formula

Least Common Multiple of 729,812 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 729,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(729,812) = 1

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

GCF(729,812) x common factors =1 x 1 = 1

LCM(729,812) = ( 729 × 812 ) / 1

LCM(729,812) = 591948 / 1

LCM(729,812) = 591948


Lets's calculate GCF of 19,9932

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 591948/1

Therefore the LCM of Fractions 729/19,812/9932 is 591948

Greatest Common Factor of 19,9932 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,9932 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 9932

List of positive integer factors of 9932 that divides 9932 without a remainder.

1,2,4,13,26,52,191,382,764,2483,4966,9932

Greatest Common Factor

We found the factors 19,9932 . The biggest common factor number is the GCF number.
So the greatest common factor 19,9932 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 729/19, 812/9932

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 729/19, 812/9932?

Answer: LCM of Numerators as per given numbers 729/19, 812/9932 is

LCM of Numerators i.e. for 729,812 is 591948

GCF of denominators i.e. for 19,9932 is 1.

Thus, LCM of Fractions is 591948.Finally, LCM of Fractions for 729/19, 812/9932 is 591948.