Least Common Multiple of 81/226, 10/808, 180/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/226, 10/808, 180/368 quickly i.e. 810 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/226, 10/808, 180/368 is 810.

LCM(81/226, 10/808, 180/368) = 810

LCM of 81/226, 10/808, 180/368

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 81/226,10/808,180/368

Given numbers are 81/226,10/808,180/368

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 81,10,180

Least Common Multiple of Numerators i.e. LCM of 81,10,180 is 1620.

GCF of Denominators means GCF of 226,808,368 as per the given fractions.

GCF of 226,808,368 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,10,180

LCM of Fractions 81/226,10/808,180/368 is 810

2 81, 10, 180
3 81, 5, 90
3 27, 5, 30
5 9, 5, 10
9, 1, 2

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 9 x 1 x 2 = 1620

Least Common Multiple of 81,10,180 with GCF Formula

Least Common Multiple of 81,10,180 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 81,10,180 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,10,180) = 1

common factors(in case of two or more numbers have common factors) = 90

GCF(81,10,180) x common factors =1 x 90 = 90

LCM(81,10,180) = ( 81 × 10 × 180 ) / 90

LCM(81,10,180) = 145800 / 90

LCM(81,10,180) = 1620


Lets's calculate GCF of 226,808,368

2 226, 808, 368
113, 404, 184

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1620/2

Therefore the LCM of Fractions 81/226,10/808,180/368 is 810

Greatest Common Factor of 226,808,368 By Matching Biggest Common Factor Method

Greatest Common Factor of 226,808,368 By Matching Biggest Common Factor Method

Factors of 226

List of positive integer factors of 226 that divides 226 without a remainder.

1,2,113,226

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Greatest Common Factor

We found the factors 226,808,368 . The biggest common factor number is the GCF number.
So the greatest common factor 226,808,368 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 81/226, 10/808, 180/368

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 81/226, 10/808, 180/368?

Answer: LCM of Numerators as per given numbers 81/226, 10/808, 180/368 is

LCM of Numerators i.e. for 81,10,180 is 1620

GCF of denominators i.e. for 226,808,368 is 2.

Thus, LCM of Fractions is 810.Finally, LCM of Fractions for 81/226, 10/808, 180/368 is 810.