Least Common Multiple of 81/87, 18/416, 303/367

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/87, 18/416, 303/367 quickly i.e. 16362 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/87, 18/416, 303/367 is 16362.

LCM(81/87, 18/416, 303/367) = 16362

LCM of 81/87, 18/416, 303/367

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 81/87,18/416,303/367

Given numbers are 81/87,18/416,303/367

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 81,18,303

Least Common Multiple of Numerators i.e. LCM of 81,18,303 is 16362.

GCF of Denominators means GCF of 87,416,367 as per the given fractions.

GCF of 87,416,367 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,18,303

LCM of Fractions 81/87,18/416,303/367 is 16362

3 81, 18, 303
3 27, 6, 101
9, 2, 101

∴ So the LCM of the given numbers is 3 x 3 x 9 x 2 x 101 = 16362

Least Common Multiple of 81,18,303 with GCF Formula

Least Common Multiple of 81,18,303 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 81,18,303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,18,303) = 3

common factors(in case of two or more numbers have common factors) = 9

GCF(81,18,303) x common factors =3 x 9 = 27

LCM(81,18,303) = ( 81 × 18 × 303 ) / 27

LCM(81,18,303) = 441774 / 27

LCM(81,18,303) = 16362


Lets's calculate GCF of 87,416,367

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16362/1

Therefore the LCM of Fractions 81/87,18/416,303/367 is 16362

Greatest Common Factor of 87,416,367 By Matching Biggest Common Factor Method

Greatest Common Factor of 87,416,367 By Matching Biggest Common Factor Method

Factors of 87

List of positive integer factors of 87 that divides 87 without a remainder.

1,3,29,87

Factors of 416

List of positive integer factors of 416 that divides 416 without a remainder.

1,2,4,8,13,16,26,32,52,104,208,416

Factors of 367

List of positive integer factors of 367 that divides 367 without a remainder.

1,367

Greatest Common Factor

We found the factors 87,416,367 . The biggest common factor number is the GCF number.
So the greatest common factor 87,416,367 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 81/87, 18/416, 303/367

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 81/87, 18/416, 303/367?

Answer: LCM of Numerators as per given numbers 81/87, 18/416, 303/367 is

LCM of Numerators i.e. for 81,18,303 is 16362

GCF of denominators i.e. for 87,416,367 is 1.

Thus, LCM of Fractions is 16362.Finally, LCM of Fractions for 81/87, 18/416, 303/367 is 16362.