Least Common Multiple of 976/18, 8367/489

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 976/18, 8367/489 quickly i.e. 2722064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 976/18, 8367/489 is 2722064.

LCM(976/18, 8367/489) = 2722064

LCM of 976/18, 8367/489

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 976/18,8367/489

Given numbers are 976/18,8367/489

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 976,8367

Least Common Multiple of Numerators i.e. LCM of 976,8367 is 8166192.

GCF of Denominators means GCF of 18,489 as per the given fractions.

GCF of 18,489 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 976,8367

LCM of Fractions 976/18,8367/489 is 2722064

Given numbers has no common factors except 1. So, there LCM is their product i.e 8166192

Least Common Multiple of 976,8367 with GCF Formula

Least Common Multiple of 976,8367 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 976,8367 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(976,8367) = 1

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

GCF(976,8367) x common factors =1 x 1 = 1

LCM(976,8367) = ( 976 × 8367 ) / 1

LCM(976,8367) = 8166192 / 1

LCM(976,8367) = 8166192


Lets's calculate GCF of 18,489

3 18, 489
6, 163

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8166192/3

Therefore the LCM of Fractions 976/18,8367/489 is 2722064

Greatest Common Factor of 18,489 By Matching Biggest Common Factor Method

Greatest Common Factor of 18,489 By Matching Biggest Common Factor Method

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 489

List of positive integer factors of 489 that divides 489 without a remainder.

1,3,163,489

Greatest Common Factor

We found the factors 18,489 . The biggest common factor number is the GCF number.
So the greatest common factor 18,489 is 3.


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 976/18, 8367/489

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 976/18, 8367/489?

Answer: LCM of Numerators as per given numbers 976/18, 8367/489 is

LCM of Numerators i.e. for 976,8367 is 8166192

GCF of denominators i.e. for 18,489 is 3.

Thus, LCM of Fractions is 2722064.Finally, LCM of Fractions for 976/18, 8367/489 is 2722064.