Least Common Multiple of 8992/299, 8204/8281

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8992/299, 8204/8281 quickly i.e. 18442592/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8992/299, 8204/8281 is 18442592/13.

LCM(8992/299, 8204/8281) = 18442592/13

LCM of 8992/299, 8204/8281

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 8992/299,8204/8281

Given numbers are 8992/299,8204/8281

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 8992,8204

Least Common Multiple of Numerators i.e. LCM of 8992,8204 is 18442592.

GCF of Denominators means GCF of 299,8281 as per the given fractions.

GCF of 299,8281 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8992,8204

LCM of Fractions 8992/299,8204/8281 is 18442592/13

2 8992, 8204
2 4496, 4102
2248, 2051

∴ So the LCM of the given numbers is 2 x 2 x 2248 x 2051 = 18442592

Least Common Multiple of 8992,8204 with GCF Formula

Least Common Multiple of 8992,8204 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 8992,8204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8992,8204) = 4

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

GCF(8992,8204) x common factors =4 x 1 = 4

LCM(8992,8204) = ( 8992 × 8204 ) / 4

LCM(8992,8204) = 73770368 / 4

LCM(8992,8204) = 18442592


Lets's calculate GCF of 299,8281

13 299, 8281
23, 637

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 18442592/13

Therefore the LCM of Fractions 8992/299,8204/8281 is 18442592/13

Greatest Common Factor of 299,8281 By Matching Biggest Common Factor Method

Greatest Common Factor of 299,8281 By Matching Biggest Common Factor Method

Factors of 299

List of positive integer factors of 299 that divides 299 without a remainder.

1,13,23,299

Factors of 8281

List of positive integer factors of 8281 that divides 8281 without a remainder.

1,7,13,49,91,169,637,1183,8281

Greatest Common Factor

We found the factors 299,8281 . The biggest common factor number is the GCF number.
So the greatest common factor 299,8281 is 13.


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 8992/299, 8204/8281

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 8992/299, 8204/8281?

Answer: LCM of Numerators as per given numbers 8992/299, 8204/8281 is

LCM of Numerators i.e. for 8992,8204 is 18442592

GCF of denominators i.e. for 299,8281 is 13.

Thus, LCM of Fractions is 18442592/13.Finally, LCM of Fractions for 8992/299, 8204/8281 is 18442592/13.