Least Common Multiple of 81/84, 90/78, 54/270

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/84, 90/78, 54/270 quickly i.e. 135 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/84, 90/78, 54/270 is 135.

LCM(81/84, 90/78, 54/270) = 135

LCM of 81/84, 90/78, 54/270

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 81/84,90/78,54/270

Given numbers are 81/84,90/78,54/270

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 81,90,54

Least Common Multiple of Numerators i.e. LCM of 81,90,54 is 810.

GCF of Denominators means GCF of 84,78,270 as per the given fractions.

GCF of 84,78,270 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,90,54

LCM of Fractions 81/84,90/78,54/270 is 135

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

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 1 x 5 x 3 = 810

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

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

GCF(81,90,54) = 9

common factors(in case of two or more numbers have common factors) = 54

GCF(81,90,54) x common factors =9 x 54 = 486

LCM(81,90,54) = ( 81 × 90 × 54 ) / 486

LCM(81,90,54) = 393660 / 486

LCM(81,90,54) = 810


Lets's calculate GCF of 84,78,270

2 84, 78, 270
3 42, 39, 135
14, 13, 45

∴ So the GCF of the given numbers is 2 x 3 = 6

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 810/6

Therefore the LCM of Fractions 81/84,90/78,54/270 is 135

Greatest Common Factor of 84,78,270 By Matching Biggest Common Factor Method

Greatest Common Factor of 84,78,270 By Matching Biggest Common Factor Method

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

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 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Greatest Common Factor

We found the factors 84,78,270 . The biggest common factor number is the GCF number.
So the greatest common factor 84,78,270 is 6.


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 81/84, 90/78, 54/270

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 81/84, 90/78, 54/270?

Answer: LCM of Numerators as per given numbers 81/84, 90/78, 54/270 is

LCM of Numerators i.e. for 81,90,54 is 810

GCF of denominators i.e. for 84,78,270 is 6.

Thus, LCM of Fractions is 135.Finally, LCM of Fractions for 81/84, 90/78, 54/270 is 135.