Least Common Multiple of 54/53, 33/18, 81/78, 90/362

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 54/53, 33/18, 81/78, 90/362 quickly i.e. 8910 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 54/53, 33/18, 81/78, 90/362 is 8910.

LCM(54/53, 33/18, 81/78, 90/362) = 8910

LCM of 54/53, 33/18, 81/78, 90/362

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 54/53,33/18,81/78,90/362

Given numbers are 54/53,33/18,81/78,90/362

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 54,33,81,90

Least Common Multiple of Numerators i.e. LCM of 54,33,81,90 is 8910.

GCF of Denominators means GCF of 53,18,78,362 as per the given fractions.

GCF of 53,18,78,362 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 54,33,81,90

LCM of Fractions 54/53,33/18,81/78,90/362 is 8910

2 54, 33, 81, 90
3 27, 33, 81, 45
3 9, 11, 27, 15
3 3, 11, 9, 5
1, 11, 3, 5

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 11 x 3 x 5 = 8910

Least Common Multiple of 54,33,81,90 with GCF Formula

Least Common Multiple of 54,33,81,90 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 54,33,81,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,33,81,90) = 3

common factors(in case of two or more numbers have common factors) = 486

GCF(54,33,81,90) x common factors =3 x 486 = 1458

LCM(54,33,81,90) = ( 54 × 33 × 81 × 90 ) / 1458

LCM(54,33,81,90) = 12990780 / 1458

LCM(54,33,81,90) = 8910


Lets's calculate GCF of 53,18,78,362

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8910/1

Therefore the LCM of Fractions 54/53,33/18,81/78,90/362 is 8910

Greatest Common Factor of 53,18,78,362 By Matching Biggest Common Factor Method

Greatest Common Factor of 53,18,78,362 By Matching Biggest Common Factor Method

Factors of 53

List of positive integer factors of 53 that divides 53 without a remainder.

1,53

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 362

List of positive integer factors of 362 that divides 362 without a remainder.

1,2,181,362

Greatest Common Factor

We found the factors 53,18,78,362 . The biggest common factor number is the GCF number.
So the greatest common factor 53,18,78,362 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 54/53, 33/18, 81/78, 90/362

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 54/53, 33/18, 81/78, 90/362?

Answer: LCM of Numerators as per given numbers 54/53, 33/18, 81/78, 90/362 is

LCM of Numerators i.e. for 54,33,81,90 is 8910

GCF of denominators i.e. for 53,18,78,362 is 1.

Thus, LCM of Fractions is 8910.Finally, LCM of Fractions for 54/53, 33/18, 81/78, 90/362 is 8910.