Least Common Multiple of 5934/29, 9843/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5934/29, 9843/989 quickly i.e. 19469454 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5934/29, 9843/989 is 19469454.

LCM(5934/29, 9843/989) = 19469454

LCM of 5934/29, 9843/989

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 5934/29,9843/989

Given numbers are 5934/29,9843/989

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 5934,9843

Least Common Multiple of Numerators i.e. LCM of 5934,9843 is 19469454.

GCF of Denominators means GCF of 29,989 as per the given fractions.

GCF of 29,989 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5934,9843

LCM of Fractions 5934/29,9843/989 is 19469454

3 5934, 9843
1978, 3281

∴ So the LCM of the given numbers is 3 x 1978 x 3281 = 19469454

Least Common Multiple of 5934,9843 with GCF Formula

Least Common Multiple of 5934,9843 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 5934,9843 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5934,9843) = 3

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

GCF(5934,9843) x common factors =3 x 1 = 3

LCM(5934,9843) = ( 5934 × 9843 ) / 3

LCM(5934,9843) = 58408362 / 3

LCM(5934,9843) = 19469454


Lets's calculate GCF of 29,989

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19469454/1

Therefore the LCM of Fractions 5934/29,9843/989 is 19469454

Greatest Common Factor of 29,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,989 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 29,989 . The biggest common factor number is the GCF number.
So the greatest common factor 29,989 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 5934/29, 9843/989

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 5934/29, 9843/989?

Answer: LCM of Numerators as per given numbers 5934/29, 9843/989 is

LCM of Numerators i.e. for 5934,9843 is 19469454

GCF of denominators i.e. for 29,989 is 1.

Thus, LCM of Fractions is 19469454.Finally, LCM of Fractions for 5934/29, 9843/989 is 19469454.