Least Common Multiple of 33/81, 542/51, 867/474

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/81, 542/51, 867/474 quickly i.e. 1723018 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/81, 542/51, 867/474 is 1723018.

LCM(33/81, 542/51, 867/474) = 1723018

LCM of 33/81, 542/51, 867/474

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 33/81,542/51,867/474

Given numbers are 33/81,542/51,867/474

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 33,542,867

Least Common Multiple of Numerators i.e. LCM of 33,542,867 is 5169054.

GCF of Denominators means GCF of 81,51,474 as per the given fractions.

GCF of 81,51,474 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,542,867

LCM of Fractions 33/81,542/51,867/474 is 1723018

3 33, 542, 867
11, 542, 289

∴ So the LCM of the given numbers is 3 x 11 x 542 x 289 = 5169054

Least Common Multiple of 33,542,867 with GCF Formula

Least Common Multiple of 33,542,867 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 33,542,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,542,867) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,542,867) x common factors =1 x 3 = 3

LCM(33,542,867) = ( 33 × 542 × 867 ) / 3

LCM(33,542,867) = 15507162 / 3

LCM(33,542,867) = 5169054


Lets's calculate GCF of 81,51,474

3 81, 51, 474
27, 17, 158

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 5169054/3

Therefore the LCM of Fractions 33/81,542/51,867/474 is 1723018

Greatest Common Factor of 81,51,474 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,51,474 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 51

List of positive integer factors of 51 that divides 51 without a remainder.

1,3,17,51

Factors of 474

List of positive integer factors of 474 that divides 474 without a remainder.

1,2,3,6,79,158,237,474

Greatest Common Factor

We found the factors 81,51,474 . The biggest common factor number is the GCF number.
So the greatest common factor 81,51,474 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 33/81, 542/51, 867/474

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 33/81, 542/51, 867/474?

Answer: LCM of Numerators as per given numbers 33/81, 542/51, 867/474 is

LCM of Numerators i.e. for 33,542,867 is 5169054

GCF of denominators i.e. for 81,51,474 is 3.

Thus, LCM of Fractions is 1723018.Finally, LCM of Fractions for 33/81, 542/51, 867/474 is 1723018.