Least Common Multiple of 330/13, 168/2701

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 330/13, 168/2701 quickly i.e. 9240 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 330/13, 168/2701 is 9240.

LCM(330/13, 168/2701) = 9240

LCM of 330/13, 168/2701

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 330/13,168/2701

Given numbers are 330/13,168/2701

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 330,168

Least Common Multiple of Numerators i.e. LCM of 330,168 is 9240.

GCF of Denominators means GCF of 13,2701 as per the given fractions.

GCF of 13,2701 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 330,168

LCM of Fractions 330/13,168/2701 is 9240

2 330, 168
3 165, 84
55, 28

∴ So the LCM of the given numbers is 2 x 3 x 55 x 28 = 9240

Least Common Multiple of 330,168 with GCF Formula

Least Common Multiple of 330,168 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 330,168 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(330,168) = 6

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

GCF(330,168) x common factors =6 x 1 = 6

LCM(330,168) = ( 330 × 168 ) / 6

LCM(330,168) = 55440 / 6

LCM(330,168) = 9240


Lets's calculate GCF of 13,2701

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9240/1

Therefore the LCM of Fractions 330/13,168/2701 is 9240

Greatest Common Factor of 13,2701 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,2701 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 2701

List of positive integer factors of 2701 that divides 2701 without a remainder.

1,37,73,2701

Greatest Common Factor

We found the factors 13,2701 . The biggest common factor number is the GCF number.
So the greatest common factor 13,2701 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 330/13, 168/2701

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 330/13, 168/2701?

Answer: LCM of Numerators as per given numbers 330/13, 168/2701 is

LCM of Numerators i.e. for 330,168 is 9240

GCF of denominators i.e. for 13,2701 is 1.

Thus, LCM of Fractions is 9240.Finally, LCM of Fractions for 330/13, 168/2701 is 9240.