Least Common Multiple of 542/72, 333/3854

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 542/72, 333/3854 quickly i.e. 90243 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 542/72, 333/3854 is 90243.

LCM(542/72, 333/3854) = 90243

LCM of 542/72, 333/3854

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 542/72,333/3854

Given numbers are 542/72,333/3854

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 542,333

Least Common Multiple of Numerators i.e. LCM of 542,333 is 180486.

GCF of Denominators means GCF of 72,3854 as per the given fractions.

GCF of 72,3854 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 542,333

LCM of Fractions 542/72,333/3854 is 90243

Given numbers has no common factors except 1. So, there LCM is their product i.e 180486

Least Common Multiple of 542,333 with GCF Formula

Least Common Multiple of 542,333 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 542,333 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(542,333) = 1

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

GCF(542,333) x common factors =1 x 1 = 1

LCM(542,333) = ( 542 × 333 ) / 1

LCM(542,333) = 180486 / 1

LCM(542,333) = 180486


Lets's calculate GCF of 72,3854

2 72, 3854
36, 1927

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180486/2

Therefore the LCM of Fractions 542/72,333/3854 is 90243

Greatest Common Factor of 72,3854 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,3854 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 3854

List of positive integer factors of 3854 that divides 3854 without a remainder.

1,2,41,47,82,94,1927,3854

Greatest Common Factor

We found the factors 72,3854 . The biggest common factor number is the GCF number.
So the greatest common factor 72,3854 is 2.


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 542/72, 333/3854

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 542/72, 333/3854?

Answer: LCM of Numerators as per given numbers 542/72, 333/3854 is

LCM of Numerators i.e. for 542,333 is 180486

GCF of denominators i.e. for 72,3854 is 2.

Thus, LCM of Fractions is 90243.Finally, LCM of Fractions for 542/72, 333/3854 is 90243.