Least Common Multiple of 87/81, 393/53, 216/31

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/81, 393/53, 216/31 quickly i.e. 820584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/81, 393/53, 216/31 is 820584.

LCM(87/81, 393/53, 216/31) = 820584

LCM of 87/81, 393/53, 216/31

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 87/81,393/53,216/31

Given numbers are 87/81,393/53,216/31

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 87,393,216

Least Common Multiple of Numerators i.e. LCM of 87,393,216 is 820584.

GCF of Denominators means GCF of 81,53,31 as per the given fractions.

GCF of 81,53,31 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,393,216

LCM of Fractions 87/81,393/53,216/31 is 820584

3 87, 393, 216
29, 131, 72

∴ So the LCM of the given numbers is 3 x 29 x 131 x 72 = 820584

Least Common Multiple of 87,393,216 with GCF Formula

Least Common Multiple of 87,393,216 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 87,393,216 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,393,216) = 3

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

GCF(87,393,216) x common factors =3 x 3 = 9

LCM(87,393,216) = ( 87 × 393 × 216 ) / 9

LCM(87,393,216) = 7385256 / 9

LCM(87,393,216) = 820584


Lets's calculate GCF of 81,53,31

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 820584/1

Therefore the LCM of Fractions 87/81,393/53,216/31 is 820584

Greatest Common Factor of 81,53,31 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,53,31 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 53

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

1,53

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Greatest Common Factor

We found the factors 81,53,31 . The biggest common factor number is the GCF number.
So the greatest common factor 81,53,31 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 87/81, 393/53, 216/31

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 87/81, 393/53, 216/31?

Answer: LCM of Numerators as per given numbers 87/81, 393/53, 216/31 is

LCM of Numerators i.e. for 87,393,216 is 820584

GCF of denominators i.e. for 81,53,31 is 1.

Thus, LCM of Fractions is 820584.Finally, LCM of Fractions for 87/81, 393/53, 216/31 is 820584.