Least Common Multiple of 21/327, 96/417

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 21/327, 96/417 quickly i.e. 224 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 21/327, 96/417 is 224.

LCM(21/327, 96/417) = 224

LCM of 21/327, 96/417

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 21/327,96/417

Given numbers are 21/327,96/417

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 21,96

Least Common Multiple of Numerators i.e. LCM of 21,96 is 672.

GCF of Denominators means GCF of 327,417 as per the given fractions.

GCF of 327,417 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 21,96

LCM of Fractions 21/327,96/417 is 224

3 21, 96
7, 32

∴ So the LCM of the given numbers is 3 x 7 x 32 = 672

Least Common Multiple of 21,96 with GCF Formula

Least Common Multiple of 21,96 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 21,96 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,96) = 3

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

GCF(21,96) x common factors =3 x 1 = 3

LCM(21,96) = ( 21 × 96 ) / 3

LCM(21,96) = 2016 / 3

LCM(21,96) = 672


Lets's calculate GCF of 327,417

3 327, 417
109, 139

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 672/3

Therefore the LCM of Fractions 21/327,96/417 is 224

Greatest Common Factor of 327,417 By Matching Biggest Common Factor Method

Greatest Common Factor of 327,417 By Matching Biggest Common Factor Method

Factors of 327

List of positive integer factors of 327 that divides 327 without a remainder.

1,3,109,327

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Greatest Common Factor

We found the factors 327,417 . The biggest common factor number is the GCF number.
So the greatest common factor 327,417 is 3.


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 21/327, 96/417

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 21/327, 96/417?

Answer: LCM of Numerators as per given numbers 21/327, 96/417 is

LCM of Numerators i.e. for 21,96 is 672

GCF of denominators i.e. for 327,417 is 3.

Thus, LCM of Fractions is 224.Finally, LCM of Fractions for 21/327, 96/417 is 224.