Least Common Multiple of 72/328, 1167/8334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 72/328, 1167/8334 quickly i.e. 14004 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 72/328, 1167/8334 is 14004.

LCM(72/328, 1167/8334) = 14004

LCM of 72/328, 1167/8334

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 72/328,1167/8334

Given numbers are 72/328,1167/8334

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 72,1167

Least Common Multiple of Numerators i.e. LCM of 72,1167 is 28008.

GCF of Denominators means GCF of 328,8334 as per the given fractions.

GCF of 328,8334 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 72,1167

LCM of Fractions 72/328,1167/8334 is 14004

3 72, 1167
24, 389

∴ So the LCM of the given numbers is 3 x 24 x 389 = 28008

Least Common Multiple of 72,1167 with GCF Formula

Least Common Multiple of 72,1167 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 72,1167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,1167) = 3

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

GCF(72,1167) x common factors =3 x 1 = 3

LCM(72,1167) = ( 72 × 1167 ) / 3

LCM(72,1167) = 84024 / 3

LCM(72,1167) = 28008


Lets's calculate GCF of 328,8334

2 328, 8334
164, 4167

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 28008/2

Therefore the LCM of Fractions 72/328,1167/8334 is 14004

Greatest Common Factor of 328,8334 By Matching Biggest Common Factor Method

Greatest Common Factor of 328,8334 By Matching Biggest Common Factor Method

Factors of 328

List of positive integer factors of 328 that divides 328 without a remainder.

1,2,4,8,41,82,164,328

Factors of 8334

List of positive integer factors of 8334 that divides 8334 without a remainder.

1,2,3,6,9,18,463,926,1389,2778,4167,8334

Greatest Common Factor

We found the factors 328,8334 . The biggest common factor number is the GCF number.
So the greatest common factor 328,8334 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 72/328, 1167/8334

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 72/328, 1167/8334?

Answer: LCM of Numerators as per given numbers 72/328, 1167/8334 is

LCM of Numerators i.e. for 72,1167 is 28008

GCF of denominators i.e. for 328,8334 is 2.

Thus, LCM of Fractions is 14004.Finally, LCM of Fractions for 72/328, 1167/8334 is 14004.