Least Common Multiple of 54/45, 543/42, 543/235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/45, 543/42, 543/235 quickly i.e. 9774 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/45, 543/42, 543/235 is 9774.

LCM(54/45, 543/42, 543/235) = 9774

LCM of 54/45, 543/42, 543/235

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 54/45,543/42,543/235

Given numbers are 54/45,543/42,543/235

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 54,543,543

Least Common Multiple of Numerators i.e. LCM of 54,543,543 is 9774.

GCF of Denominators means GCF of 45,42,235 as per the given fractions.

GCF of 45,42,235 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,543,543

LCM of Fractions 54/45,543/42,543/235 is 9774

3 54, 543, 543
181 18, 181, 181
18, 1, 1

∴ So the LCM of the given numbers is 3 x 181 x 18 x 1 x 1 = 9774

Least Common Multiple of 54,543,543 with GCF Formula

Least Common Multiple of 54,543,543 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 54,543,543 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,543,543) = 3

common factors(in case of two or more numbers have common factors) = 543

GCF(54,543,543) x common factors =3 x 543 = 1629

LCM(54,543,543) = ( 54 × 543 × 543 ) / 1629

LCM(54,543,543) = 15921846 / 1629

LCM(54,543,543) = 9774


Lets's calculate GCF of 45,42,235

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9774/1

Therefore the LCM of Fractions 54/45,543/42,543/235 is 9774

Greatest Common Factor of 45,42,235 By Matching Biggest Common Factor Method

Greatest Common Factor of 45,42,235 By Matching Biggest Common Factor Method

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 235

List of positive integer factors of 235 that divides 235 without a remainder.

1,5,47,235

Greatest Common Factor

We found the factors 45,42,235 . The biggest common factor number is the GCF number.
So the greatest common factor 45,42,235 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 54/45, 543/42, 543/235

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 54/45, 543/42, 543/235?

Answer: LCM of Numerators as per given numbers 54/45, 543/42, 543/235 is

LCM of Numerators i.e. for 54,543,543 is 9774

GCF of denominators i.e. for 45,42,235 is 1.

Thus, LCM of Fractions is 9774.Finally, LCM of Fractions for 54/45, 543/42, 543/235 is 9774.