Least Common Multiple of 537/18, 474/5781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 537/18, 474/5781 quickly i.e. 28282 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 537/18, 474/5781 is 28282.

LCM(537/18, 474/5781) = 28282

LCM of 537/18, 474/5781

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 537/18,474/5781

Given numbers are 537/18,474/5781

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 537,474

Least Common Multiple of Numerators i.e. LCM of 537,474 is 84846.

GCF of Denominators means GCF of 18,5781 as per the given fractions.

GCF of 18,5781 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 537,474

LCM of Fractions 537/18,474/5781 is 28282

3 537, 474
179, 158

∴ So the LCM of the given numbers is 3 x 179 x 158 = 84846

Least Common Multiple of 537,474 with GCF Formula

Least Common Multiple of 537,474 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 537,474 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(537,474) = 3

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

GCF(537,474) x common factors =3 x 1 = 3

LCM(537,474) = ( 537 × 474 ) / 3

LCM(537,474) = 254538 / 3

LCM(537,474) = 84846


Lets's calculate GCF of 18,5781

3 18, 5781
6, 1927

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 84846/3

Therefore the LCM of Fractions 537/18,474/5781 is 28282

Greatest Common Factor of 18,5781 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,5781 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 5781

List of positive integer factors of 5781 that divides 5781 without a remainder.

1,3,41,47,123,141,1927,5781

Greatest Common Factor

We found the factors 18,5781 . The biggest common factor number is the GCF number.
So the greatest common factor 18,5781 is 3.


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 537/18, 474/5781

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 537/18, 474/5781?

Answer: LCM of Numerators as per given numbers 537/18, 474/5781 is

LCM of Numerators i.e. for 537,474 is 84846

GCF of denominators i.e. for 18,5781 is 3.

Thus, LCM of Fractions is 28282.Finally, LCM of Fractions for 537/18, 474/5781 is 28282.