Least Common Multiple of 57/36, 96/21, 282/545

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 57/36, 96/21, 282/545 quickly i.e. 85728 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 57/36, 96/21, 282/545 is 85728.

LCM(57/36, 96/21, 282/545) = 85728

LCM of 57/36, 96/21, 282/545

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 57/36,96/21,282/545

Given numbers are 57/36,96/21,282/545

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 57,96,282

Least Common Multiple of Numerators i.e. LCM of 57,96,282 is 85728.

GCF of Denominators means GCF of 36,21,545 as per the given fractions.

GCF of 36,21,545 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 57,96,282

LCM of Fractions 57/36,96/21,282/545 is 85728

2 57, 96, 282
3 57, 48, 141
19, 16, 47

∴ So the LCM of the given numbers is 2 x 3 x 19 x 16 x 47 = 85728

Least Common Multiple of 57,96,282 with GCF Formula

Least Common Multiple of 57,96,282 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 57,96,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,96,282) = 3

common factors(in case of two or more numbers have common factors) = 6

GCF(57,96,282) x common factors =3 x 6 = 18

LCM(57,96,282) = ( 57 × 96 × 282 ) / 18

LCM(57,96,282) = 1543104 / 18

LCM(57,96,282) = 85728


Lets's calculate GCF of 36,21,545

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 85728/1

Therefore the LCM of Fractions 57/36,96/21,282/545 is 85728

Greatest Common Factor of 36,21,545 By Matching Biggest Common Factor Method

Greatest Common Factor of 36,21,545 By Matching Biggest Common Factor Method

Factors of 36

List of positive integer factors of 36 that divides 36 without a remainder.

1,2,3,4,6,9,12,18,36

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 545

List of positive integer factors of 545 that divides 545 without a remainder.

1,5,109,545

Greatest Common Factor

We found the factors 36,21,545 . The biggest common factor number is the GCF number.
So the greatest common factor 36,21,545 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 57/36, 96/21, 282/545

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 57/36, 96/21, 282/545?

Answer: LCM of Numerators as per given numbers 57/36, 96/21, 282/545 is

LCM of Numerators i.e. for 57,96,282 is 85728

GCF of denominators i.e. for 36,21,545 is 1.

Thus, LCM of Fractions is 85728.Finally, LCM of Fractions for 57/36, 96/21, 282/545 is 85728.