Least Common Multiple of 285/18, 546/5825

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 285/18, 546/5825 quickly i.e. 51870 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 285/18, 546/5825 is 51870.

LCM(285/18, 546/5825) = 51870

LCM of 285/18, 546/5825

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 285/18,546/5825

Given numbers are 285/18,546/5825

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 285,546

Least Common Multiple of Numerators i.e. LCM of 285,546 is 51870.

GCF of Denominators means GCF of 18,5825 as per the given fractions.

GCF of 18,5825 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 285,546

LCM of Fractions 285/18,546/5825 is 51870

3 285, 546
95, 182

∴ So the LCM of the given numbers is 3 x 95 x 182 = 51870

Least Common Multiple of 285,546 with GCF Formula

Least Common Multiple of 285,546 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 285,546 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(285,546) = 3

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

GCF(285,546) x common factors =3 x 1 = 3

LCM(285,546) = ( 285 × 546 ) / 3

LCM(285,546) = 155610 / 3

LCM(285,546) = 51870


Lets's calculate GCF of 18,5825

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 51870/1

Therefore the LCM of Fractions 285/18,546/5825 is 51870

Greatest Common Factor of 18,5825 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,5825 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 5825

List of positive integer factors of 5825 that divides 5825 without a remainder.

1,5,25,233,1165,5825

Greatest Common Factor

We found the factors 18,5825 . The biggest common factor number is the GCF number.
So the greatest common factor 18,5825 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 285/18, 546/5825

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 285/18, 546/5825?

Answer: LCM of Numerators as per given numbers 285/18, 546/5825 is

LCM of Numerators i.e. for 285,546 is 51870

GCF of denominators i.e. for 18,5825 is 1.

Thus, LCM of Fractions is 51870.Finally, LCM of Fractions for 285/18, 546/5825 is 51870.