Least Common Multiple of 18/330, 7558/9933

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/330, 7558/9933 quickly i.e. 68022/33 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/330, 7558/9933 is 68022/33.

LCM(18/330, 7558/9933) = 68022/33

LCM of 18/330, 7558/9933

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 18/330,7558/9933

Given numbers are 18/330,7558/9933

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 18,7558

Least Common Multiple of Numerators i.e. LCM of 18,7558 is 68022.

GCF of Denominators means GCF of 330,9933 as per the given fractions.

GCF of 330,9933 is 33 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,7558

LCM of Fractions 18/330,7558/9933 is 68022/33

2 18, 7558
9, 3779

∴ So the LCM of the given numbers is 2 x 9 x 3779 = 68022

Least Common Multiple of 18,7558 with GCF Formula

Least Common Multiple of 18,7558 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 18,7558 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,7558) = 2

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

GCF(18,7558) x common factors =2 x 1 = 2

LCM(18,7558) = ( 18 × 7558 ) / 2

LCM(18,7558) = 136044 / 2

LCM(18,7558) = 68022


Lets's calculate GCF of 330,9933

3 330, 9933
11 110, 3311
10, 301

∴ So the GCF of the given numbers is 3 x 11 = 33

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 68022/33

Therefore the LCM of Fractions 18/330,7558/9933 is 68022/33

Greatest Common Factor of 330,9933 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,9933 By Matching Biggest Common Factor Method

Factors of 330

List of positive integer factors of 330 that divides 330 without a remainder.

1,2,3,5,6,10,11,15,22,30,33,55,66,110,165,330

Factors of 9933

List of positive integer factors of 9933 that divides 9933 without a remainder.

1,3,7,11,21,33,43,77,129,231,301,473,903,1419,3311,9933

Greatest Common Factor

We found the factors 330,9933 . The biggest common factor number is the GCF number.
So the greatest common factor 330,9933 is 33.


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 18/330, 7558/9933

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 18/330, 7558/9933?

Answer: LCM of Numerators as per given numbers 18/330, 7558/9933 is

LCM of Numerators i.e. for 18,7558 is 68022

GCF of denominators i.e. for 330,9933 is 33.

Thus, LCM of Fractions is 68022/33.Finally, LCM of Fractions for 18/330, 7558/9933 is 68022/33.