Least Common Multiple of 81/54, 66/56, 19/60, 13/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/54, 66/56, 19/60, 13/410 quickly i.e. 220077 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/54, 66/56, 19/60, 13/410 is 220077.

LCM(81/54, 66/56, 19/60, 13/410) = 220077

LCM of 81/54, 66/56, 19/60, 13/410

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 81/54,66/56,19/60,13/410

Given numbers are 81/54,66/56,19/60,13/410

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 81,66,19,13

Least Common Multiple of Numerators i.e. LCM of 81,66,19,13 is 440154.

GCF of Denominators means GCF of 54,56,60,410 as per the given fractions.

GCF of 54,56,60,410 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,66,19,13

LCM of Fractions 81/54,66/56,19/60,13/410 is 220077

3 81, 66, 19, 13
27, 22, 19, 13

∴ So the LCM of the given numbers is 3 x 27 x 22 x 19 x 13 = 440154

Least Common Multiple of 81,66,19,13 with GCF Formula

Least Common Multiple of 81,66,19,13 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 81,66,19,13 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,66,19,13) = 1

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

GCF(81,66,19,13) x common factors =1 x 3 = 3

LCM(81,66,19,13) = ( 81 × 66 × 19 × 13 ) / 3

LCM(81,66,19,13) = 1320462 / 3

LCM(81,66,19,13) = 440154


Lets's calculate GCF of 54,56,60,410

2 54, 56, 60, 410
27, 28, 30, 205

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 440154/2

Therefore the LCM of Fractions 81/54,66/56,19/60,13/410 is 220077

Greatest Common Factor of 54,56,60,410 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,56,60,410 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 56

List of positive integer factors of 56 that divides 56 without a remainder.

1,2,4,7,8,14,28,56

Factors of 60

List of positive integer factors of 60 that divides 60 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60

Factors of 410

List of positive integer factors of 410 that divides 410 without a remainder.

1,2,5,10,41,82,205,410

Greatest Common Factor

We found the factors 54,56,60,410 . The biggest common factor number is the GCF number.
So the greatest common factor 54,56,60,410 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 81/54, 66/56, 19/60, 13/410

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 81/54, 66/56, 19/60, 13/410?

Answer: LCM of Numerators as per given numbers 81/54, 66/56, 19/60, 13/410 is

LCM of Numerators i.e. for 81,66,19,13 is 440154

GCF of denominators i.e. for 54,56,60,410 is 2.

Thus, LCM of Fractions is 220077.Finally, LCM of Fractions for 81/54, 66/56, 19/60, 13/410 is 220077.