Least Common Multiple of 81/111, 60/491, 218/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/111, 60/491, 218/238 quickly i.e. 176580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/111, 60/491, 218/238 is 176580.

LCM(81/111, 60/491, 218/238) = 176580

LCM of 81/111, 60/491, 218/238

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 81/111,60/491,218/238

Given numbers are 81/111,60/491,218/238

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 81,60,218

Least Common Multiple of Numerators i.e. LCM of 81,60,218 is 176580.

GCF of Denominators means GCF of 111,491,238 as per the given fractions.

GCF of 111,491,238 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,60,218

LCM of Fractions 81/111,60/491,218/238 is 176580

2 81, 60, 218
3 81, 30, 109
27, 10, 109

∴ So the LCM of the given numbers is 2 x 3 x 27 x 10 x 109 = 176580

Least Common Multiple of 81,60,218 with GCF Formula

Least Common Multiple of 81,60,218 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 81,60,218 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,60,218) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(81,60,218) x common factors =1 x 6 = 6

LCM(81,60,218) = ( 81 × 60 × 218 ) / 6

LCM(81,60,218) = 1059480 / 6

LCM(81,60,218) = 176580


Lets's calculate GCF of 111,491,238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 176580/1

Therefore the LCM of Fractions 81/111,60/491,218/238 is 176580

Greatest Common Factor of 111,491,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 111,491,238 By Matching Biggest Common Factor Method

Factors of 111

List of positive integer factors of 111 that divides 111 without a remainder.

1,3,37,111

Factors of 491

List of positive integer factors of 491 that divides 491 without a remainder.

1,491

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 111,491,238 . The biggest common factor number is the GCF number.
So the greatest common factor 111,491,238 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 81/111, 60/491, 218/238

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 81/111, 60/491, 218/238?

Answer: LCM of Numerators as per given numbers 81/111, 60/491, 218/238 is

LCM of Numerators i.e. for 81,60,218 is 176580

GCF of denominators i.e. for 111,491,238 is 1.

Thus, LCM of Fractions is 176580.Finally, LCM of Fractions for 81/111, 60/491, 218/238 is 176580.