Least Common Multiple of 30/110, 5794/9981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 30/110, 5794/9981 quickly i.e. 86910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 30/110, 5794/9981 is 86910.

LCM(30/110, 5794/9981) = 86910

LCM of 30/110, 5794/9981

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 30/110,5794/9981

Given numbers are 30/110,5794/9981

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 30,5794

Least Common Multiple of Numerators i.e. LCM of 30,5794 is 86910.

GCF of Denominators means GCF of 110,9981 as per the given fractions.

GCF of 110,9981 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 30,5794

LCM of Fractions 30/110,5794/9981 is 86910

2 30, 5794
15, 2897

∴ So the LCM of the given numbers is 2 x 15 x 2897 = 86910

Least Common Multiple of 30,5794 with GCF Formula

Least Common Multiple of 30,5794 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 30,5794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,5794) = 2

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

GCF(30,5794) x common factors =2 x 1 = 2

LCM(30,5794) = ( 30 × 5794 ) / 2

LCM(30,5794) = 173820 / 2

LCM(30,5794) = 86910


Lets's calculate GCF of 110,9981

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 86910/1

Therefore the LCM of Fractions 30/110,5794/9981 is 86910

Greatest Common Factor of 110,9981 By Matching Biggest Common Factor Method

Greatest Common Factor of 110,9981 By Matching Biggest Common Factor Method

Factors of 110

List of positive integer factors of 110 that divides 110 without a remainder.

1,2,5,10,11,22,55,110

Factors of 9981

List of positive integer factors of 9981 that divides 9981 without a remainder.

1,3,9,1109,3327,9981

Greatest Common Factor

We found the factors 110,9981 . The biggest common factor number is the GCF number.
So the greatest common factor 110,9981 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 30/110, 5794/9981

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 30/110, 5794/9981?

Answer: LCM of Numerators as per given numbers 30/110, 5794/9981 is

LCM of Numerators i.e. for 30,5794 is 86910

GCF of denominators i.e. for 110,9981 is 1.

Thus, LCM of Fractions is 86910.Finally, LCM of Fractions for 30/110, 5794/9981 is 86910.