Least Common Multiple of 96/871, 73/214, 334/329

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/871, 73/214, 334/329 quickly i.e. 1170336 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/871, 73/214, 334/329 is 1170336.

LCM(96/871, 73/214, 334/329) = 1170336

LCM of 96/871, 73/214, 334/329

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 96/871,73/214,334/329

Given numbers are 96/871,73/214,334/329

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 96,73,334

Least Common Multiple of Numerators i.e. LCM of 96,73,334 is 1170336.

GCF of Denominators means GCF of 871,214,329 as per the given fractions.

GCF of 871,214,329 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,73,334

LCM of Fractions 96/871,73/214,334/329 is 1170336

2 96, 73, 334
48, 73, 167

∴ So the LCM of the given numbers is 2 x 48 x 73 x 167 = 1170336

Least Common Multiple of 96,73,334 with GCF Formula

Least Common Multiple of 96,73,334 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 96,73,334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,73,334) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(96,73,334) x common factors =1 x 2 = 2

LCM(96,73,334) = ( 96 × 73 × 334 ) / 2

LCM(96,73,334) = 2340672 / 2

LCM(96,73,334) = 1170336


Lets's calculate GCF of 871,214,329

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1170336/1

Therefore the LCM of Fractions 96/871,73/214,334/329 is 1170336

Greatest Common Factor of 871,214,329 By Matching Biggest Common Factor Method

Greatest Common Factor of 871,214,329 By Matching Biggest Common Factor Method

Factors of 871

List of positive integer factors of 871 that divides 871 without a remainder.

1,13,67,871

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

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 871,214,329 . The biggest common factor number is the GCF number.
So the greatest common factor 871,214,329 is 1.


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 96/871, 73/214, 334/329

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 96/871, 73/214, 334/329?

Answer: LCM of Numerators as per given numbers 96/871, 73/214, 334/329 is

LCM of Numerators i.e. for 96,73,334 is 1170336

GCF of denominators i.e. for 871,214,329 is 1.

Thus, LCM of Fractions is 1170336.Finally, LCM of Fractions for 96/871, 73/214, 334/329 is 1170336.