Least Common Multiple of 9981/454, 8508/8646

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9981/454, 8508/8646 quickly i.e. 14153058 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9981/454, 8508/8646 is 14153058.

LCM(9981/454, 8508/8646) = 14153058

LCM of 9981/454, 8508/8646

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 9981/454,8508/8646

Given numbers are 9981/454,8508/8646

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 9981,8508

Least Common Multiple of Numerators i.e. LCM of 9981,8508 is 28306116.

GCF of Denominators means GCF of 454,8646 as per the given fractions.

GCF of 454,8646 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9981,8508

LCM of Fractions 9981/454,8508/8646 is 14153058

3 9981, 8508
3327, 2836

∴ So the LCM of the given numbers is 3 x 3327 x 2836 = 28306116

Least Common Multiple of 9981,8508 with GCF Formula

Least Common Multiple of 9981,8508 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 9981,8508 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9981,8508) = 3

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

GCF(9981,8508) x common factors =3 x 1 = 3

LCM(9981,8508) = ( 9981 × 8508 ) / 3

LCM(9981,8508) = 84918348 / 3

LCM(9981,8508) = 28306116


Lets's calculate GCF of 454,8646

2 454, 8646
227, 4323

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28306116/2

Therefore the LCM of Fractions 9981/454,8508/8646 is 14153058

Greatest Common Factor of 454,8646 By Matching Biggest Common Factor Method

Greatest Common Factor of 454,8646 By Matching Biggest Common Factor Method

Factors of 454

List of positive integer factors of 454 that divides 454 without a remainder.

1,2,227,454

Factors of 8646

List of positive integer factors of 8646 that divides 8646 without a remainder.

1,2,3,6,11,22,33,66,131,262,393,786,1441,2882,4323,8646

Greatest Common Factor

We found the factors 454,8646 . The biggest common factor number is the GCF number.
So the greatest common factor 454,8646 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 9981/454, 8508/8646

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 9981/454, 8508/8646?

Answer: LCM of Numerators as per given numbers 9981/454, 8508/8646 is

LCM of Numerators i.e. for 9981,8508 is 28306116

GCF of denominators i.e. for 454,8646 is 2.

Thus, LCM of Fractions is 14153058.Finally, LCM of Fractions for 9981/454, 8508/8646 is 14153058.