Least Common Multiple of 81/492, 80/477, 386/981

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 81/492, 80/477, 386/981 quickly i.e. 416880 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 81/492, 80/477, 386/981 is 416880.

LCM(81/492, 80/477, 386/981) = 416880

LCM of 81/492, 80/477, 386/981

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 81/492,80/477,386/981

Given numbers are 81/492,80/477,386/981

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 81,80,386

Least Common Multiple of Numerators i.e. LCM of 81,80,386 is 1250640.

GCF of Denominators means GCF of 492,477,981 as per the given fractions.

GCF of 492,477,981 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 81,80,386

LCM of Fractions 81/492,80/477,386/981 is 416880

2 81, 80, 386
81, 40, 193

∴ So the LCM of the given numbers is 2 x 81 x 40 x 193 = 1250640

Least Common Multiple of 81,80,386 with GCF Formula

Least Common Multiple of 81,80,386 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 81,80,386 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,80,386) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(81,80,386) x common factors =1 x 2 = 2

LCM(81,80,386) = ( 81 × 80 × 386 ) / 2

LCM(81,80,386) = 2501280 / 2

LCM(81,80,386) = 1250640


Lets's calculate GCF of 492,477,981

3 492, 477, 981
164, 159, 327

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1250640/3

Therefore the LCM of Fractions 81/492,80/477,386/981 is 416880

Greatest Common Factor of 492,477,981 By Matching Biggest Common Factor Method

Greatest Common Factor of 492,477,981 By Matching Biggest Common Factor Method

Factors of 492

List of positive integer factors of 492 that divides 492 without a remainder.

1,2,3,4,6,12,41,82,123,164,246,492

Factors of 477

List of positive integer factors of 477 that divides 477 without a remainder.

1,3,9,53,159,477

Factors of 981

List of positive integer factors of 981 that divides 981 without a remainder.

1,3,9,109,327,981

Greatest Common Factor

We found the factors 492,477,981 . The biggest common factor number is the GCF number.
So the greatest common factor 492,477,981 is 3.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 81/492, 80/477, 386/981

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 81/492, 80/477, 386/981?

Answer: LCM of Numerators as per given numbers 81/492, 80/477, 386/981 is

LCM of Numerators i.e. for 81,80,386 is 1250640

GCF of denominators i.e. for 492,477,981 is 3.

Thus, LCM of Fractions is 416880.Finally, LCM of Fractions for 81/492, 80/477, 386/981 is 416880.