Least Common Multiple of 14/330, 4520/3285

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/330, 4520/3285 quickly i.e. 31640/15 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/330, 4520/3285 is 31640/15.

LCM(14/330, 4520/3285) = 31640/15

LCM of 14/330, 4520/3285

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 14/330,4520/3285

Given numbers are 14/330,4520/3285

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 14,4520

Least Common Multiple of Numerators i.e. LCM of 14,4520 is 31640.

GCF of Denominators means GCF of 330,3285 as per the given fractions.

GCF of 330,3285 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,4520

LCM of Fractions 14/330,4520/3285 is 31640/15

2 14, 4520
7, 2260

∴ So the LCM of the given numbers is 2 x 7 x 2260 = 31640

Least Common Multiple of 14,4520 with GCF Formula

Least Common Multiple of 14,4520 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 14,4520 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,4520) = 2

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

GCF(14,4520) x common factors =2 x 1 = 2

LCM(14,4520) = ( 14 × 4520 ) / 2

LCM(14,4520) = 63280 / 2

LCM(14,4520) = 31640


Lets's calculate GCF of 330,3285

3 330, 3285
5 110, 1095
22, 219

∴ So the GCF of the given numbers is 3 x 5 = 15

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 31640/15

Therefore the LCM of Fractions 14/330,4520/3285 is 31640/15

Greatest Common Factor of 330,3285 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,3285 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 3285

List of positive integer factors of 3285 that divides 3285 without a remainder.

1,3,5,9,15,45,73,219,365,657,1095,3285

Greatest Common Factor

We found the factors 330,3285 . The biggest common factor number is the GCF number.
So the greatest common factor 330,3285 is 15.


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 14/330, 4520/3285

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 14/330, 4520/3285?

Answer: LCM of Numerators as per given numbers 14/330, 4520/3285 is

LCM of Numerators i.e. for 14,4520 is 31640

GCF of denominators i.e. for 330,3285 is 15.

Thus, LCM of Fractions is 31640/15.Finally, LCM of Fractions for 14/330, 4520/3285 is 31640/15.