Least Common Multiple of 81/366, 20/252, 367/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/366, 20/252, 367/486 quickly i.e. 99090 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/366, 20/252, 367/486 is 99090.

LCM(81/366, 20/252, 367/486) = 99090

LCM of 81/366, 20/252, 367/486

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 81/366,20/252,367/486

Given numbers are 81/366,20/252,367/486

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 81,20,367

Least Common Multiple of Numerators i.e. LCM of 81,20,367 is 594540.

GCF of Denominators means GCF of 366,252,486 as per the given fractions.

GCF of 366,252,486 is 6 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,20,367

LCM of Fractions 81/366,20/252,367/486 is 99090

Given numbers has no common factors except 1. So, there LCM is their product i.e 594540

Least Common Multiple of 81,20,367 with GCF Formula

Least Common Multiple of 81,20,367 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 81,20,367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,20,367) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(81,20,367) x common factors =1 x 1 = 1

LCM(81,20,367) = ( 81 × 20 × 367 ) / 1

LCM(81,20,367) = 594540 / 1

LCM(81,20,367) = 594540


Lets's calculate GCF of 366,252,486

2 366, 252, 486
3 183, 126, 243
61, 42, 81

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 594540/6

Therefore the LCM of Fractions 81/366,20/252,367/486 is 99090

Greatest Common Factor of 366,252,486 By Matching Biggest Common Factor Method

Greatest Common Factor of 366,252,486 By Matching Biggest Common Factor Method

Factors of 366

List of positive integer factors of 366 that divides 366 without a remainder.

1,2,3,6,61,122,183,366

Factors of 252

List of positive integer factors of 252 that divides 252 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,63,84,126,252

Factors of 486

List of positive integer factors of 486 that divides 486 without a remainder.

1,2,3,6,9,18,27,54,81,162,243,486

Greatest Common Factor

We found the factors 366,252,486 . The biggest common factor number is the GCF number.
So the greatest common factor 366,252,486 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 81/366, 20/252, 367/486

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 81/366, 20/252, 367/486?

Answer: LCM of Numerators as per given numbers 81/366, 20/252, 367/486 is

LCM of Numerators i.e. for 81,20,367 is 594540

GCF of denominators i.e. for 366,252,486 is 6.

Thus, LCM of Fractions is 99090.Finally, LCM of Fractions for 81/366, 20/252, 367/486 is 99090.