Least Common Multiple of 285/330, 4797/135

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 285/330, 4797/135 quickly i.e. 30381 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 285/330, 4797/135 is 30381.

LCM(285/330, 4797/135) = 30381

LCM of 285/330, 4797/135

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 285/330,4797/135

Given numbers are 285/330,4797/135

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 285,4797

Least Common Multiple of Numerators i.e. LCM of 285,4797 is 455715.

GCF of Denominators means GCF of 330,135 as per the given fractions.

GCF of 330,135 is 15 as it is the largest common factor for these numbers.

Lets's calculate LCM of 285,4797

LCM of Fractions 285/330,4797/135 is 30381

3 285, 4797
95, 1599

∴ So the LCM of the given numbers is 3 x 95 x 1599 = 455715

Least Common Multiple of 285,4797 with GCF Formula

Least Common Multiple of 285,4797 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 285,4797 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,4797) = 3

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

GCF(285,4797) x common factors =3 x 1 = 3

LCM(285,4797) = ( 285 × 4797 ) / 3

LCM(285,4797) = 1367145 / 3

LCM(285,4797) = 455715


Lets's calculate GCF of 330,135

3 330, 135
5 110, 45
22, 9

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455715/15

Therefore the LCM of Fractions 285/330,4797/135 is 30381

Greatest Common Factor of 330,135 By Matching Biggest Common Factor Method

Greatest Common Factor of 330,135 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 135

List of positive integer factors of 135 that divides 135 without a remainder.

1,3,5,9,15,27,45,135

Greatest Common Factor

We found the factors 330,135 . The biggest common factor number is the GCF number.
So the greatest common factor 330,135 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 285/330, 4797/135

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 285/330, 4797/135?

Answer: LCM of Numerators as per given numbers 285/330, 4797/135 is

LCM of Numerators i.e. for 285,4797 is 455715

GCF of denominators i.e. for 330,135 is 15.

Thus, LCM of Fractions is 30381.Finally, LCM of Fractions for 285/330, 4797/135 is 30381.