Least Common Multiple of 9008/301, 8812/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9008/301, 8812/329 quickly i.e. 19844624/7 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9008/301, 8812/329 is 19844624/7.

LCM(9008/301, 8812/329) = 19844624/7

LCM of 9008/301, 8812/329

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 9008/301,8812/329

Given numbers are 9008/301,8812/329

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 9008,8812

Least Common Multiple of Numerators i.e. LCM of 9008,8812 is 19844624.

GCF of Denominators means GCF of 301,329 as per the given fractions.

GCF of 301,329 is 7 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9008,8812

LCM of Fractions 9008/301,8812/329 is 19844624/7

2 9008, 8812
2 4504, 4406
2252, 2203

∴ So the LCM of the given numbers is 2 x 2 x 2252 x 2203 = 19844624

Least Common Multiple of 9008,8812 with GCF Formula

Least Common Multiple of 9008,8812 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 9008,8812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9008,8812) = 4

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

GCF(9008,8812) x common factors =4 x 1 = 4

LCM(9008,8812) = ( 9008 × 8812 ) / 4

LCM(9008,8812) = 79378496 / 4

LCM(9008,8812) = 19844624


Lets's calculate GCF of 301,329

7 301, 329
43, 47

∴ So the GCF of the given numbers is 7 = 7

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 19844624/7

Therefore the LCM of Fractions 9008/301,8812/329 is 19844624/7

Greatest Common Factor of 301,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 301,329 By Matching Biggest Common Factor Method

Factors of 301

List of positive integer factors of 301 that divides 301 without a remainder.

1,7,43,301

Factors of 329

List of positive integer factors of 329 that divides 329 without a remainder.

1,7,47,329

Greatest Common Factor

We found the factors 301,329 . The biggest common factor number is the GCF number.
So the greatest common factor 301,329 is 7.


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 9008/301, 8812/329

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 9008/301, 8812/329?

Answer: LCM of Numerators as per given numbers 9008/301, 8812/329 is

LCM of Numerators i.e. for 9008,8812 is 19844624

GCF of denominators i.e. for 301,329 is 7.

Thus, LCM of Fractions is 19844624/7.Finally, LCM of Fractions for 9008/301, 8812/329 is 19844624/7.