Least Common Multiple of 81/204, 24/551, 718/199

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 81/204, 24/551, 718/199 quickly i.e. 232632 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/204, 24/551, 718/199 is 232632.

LCM(81/204, 24/551, 718/199) = 232632

LCM of 81/204, 24/551, 718/199

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 81/204,24/551,718/199

Given numbers are 81/204,24/551,718/199

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 81,24,718

Least Common Multiple of Numerators i.e. LCM of 81,24,718 is 232632.

GCF of Denominators means GCF of 204,551,199 as per the given fractions.

GCF of 204,551,199 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,24,718

LCM of Fractions 81/204,24/551,718/199 is 232632

2 81, 24, 718
3 81, 12, 359
27, 4, 359

∴ So the LCM of the given numbers is 2 x 3 x 27 x 4 x 359 = 232632

Least Common Multiple of 81,24,718 with GCF Formula

Least Common Multiple of 81,24,718 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 81,24,718 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,24,718) = 1

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

GCF(81,24,718) x common factors =1 x 6 = 6

LCM(81,24,718) = ( 81 × 24 × 718 ) / 6

LCM(81,24,718) = 1395792 / 6

LCM(81,24,718) = 232632


Lets's calculate GCF of 204,551,199

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 232632/1

Therefore the LCM of Fractions 81/204,24/551,718/199 is 232632

Greatest Common Factor of 204,551,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,551,199 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 551

List of positive integer factors of 551 that divides 551 without a remainder.

1,19,29,551

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Greatest Common Factor

We found the factors 204,551,199 . The biggest common factor number is the GCF number.
So the greatest common factor 204,551,199 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 81/204, 24/551, 718/199

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 81/204, 24/551, 718/199?

Answer: LCM of Numerators as per given numbers 81/204, 24/551, 718/199 is

LCM of Numerators i.e. for 81,24,718 is 232632

GCF of denominators i.e. for 204,551,199 is 1.

Thus, LCM of Fractions is 232632.Finally, LCM of Fractions for 81/204, 24/551, 718/199 is 232632.