Least Common Multiple of 7329/984, 2988/344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7329/984, 2988/344 quickly i.e. 7299684/8 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7329/984, 2988/344 is 7299684/8.

LCM(7329/984, 2988/344) = 7299684/8

LCM of 7329/984, 2988/344

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 7329/984,2988/344

Given numbers are 7329/984,2988/344

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 7329,2988

Least Common Multiple of Numerators i.e. LCM of 7329,2988 is 7299684.

GCF of Denominators means GCF of 984,344 as per the given fractions.

GCF of 984,344 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7329,2988

LCM of Fractions 7329/984,2988/344 is 7299684/8

3 7329, 2988
2443, 996

∴ So the LCM of the given numbers is 3 x 2443 x 996 = 7299684

Least Common Multiple of 7329,2988 with GCF Formula

Least Common Multiple of 7329,2988 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 7329,2988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7329,2988) = 3

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

GCF(7329,2988) x common factors =3 x 1 = 3

LCM(7329,2988) = ( 7329 × 2988 ) / 3

LCM(7329,2988) = 21899052 / 3

LCM(7329,2988) = 7299684


Lets's calculate GCF of 984,344

2 984, 344
2 492, 172
2 246, 86
123, 43

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7299684/8

Therefore the LCM of Fractions 7329/984,2988/344 is 7299684/8

Greatest Common Factor of 984,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 984,344 By Matching Biggest Common Factor Method

Factors of 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 984,344 . The biggest common factor number is the GCF number.
So the greatest common factor 984,344 is 8.


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 7329/984, 2988/344

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 7329/984, 2988/344?

Answer: LCM of Numerators as per given numbers 7329/984, 2988/344 is

LCM of Numerators i.e. for 7329,2988 is 7299684

GCF of denominators i.e. for 984,344 is 8.

Thus, LCM of Fractions is 7299684/8.Finally, LCM of Fractions for 7329/984, 2988/344 is 7299684/8.