Least Common Multiple of 96/204, 17/867, 121/432

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 96/204, 17/867, 121/432 quickly i.e. 65824 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 96/204, 17/867, 121/432 is 65824.

LCM(96/204, 17/867, 121/432) = 65824

LCM of 96/204, 17/867, 121/432

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 96/204,17/867,121/432

Given numbers are 96/204,17/867,121/432

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 96,17,121

Least Common Multiple of Numerators i.e. LCM of 96,17,121 is 197472.

GCF of Denominators means GCF of 204,867,432 as per the given fractions.

GCF of 204,867,432 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 96,17,121

LCM of Fractions 96/204,17/867,121/432 is 65824

Given numbers has no common factors except 1. So, there LCM is their product i.e 197472

Least Common Multiple of 96,17,121 with GCF Formula

Least Common Multiple of 96,17,121 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 96,17,121 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(96,17,121) = 1

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

GCF(96,17,121) x common factors =1 x 1 = 1

LCM(96,17,121) = ( 96 × 17 × 121 ) / 1

LCM(96,17,121) = 197472 / 1

LCM(96,17,121) = 197472


Lets's calculate GCF of 204,867,432

3 204, 867, 432
68, 289, 144

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 197472/3

Therefore the LCM of Fractions 96/204,17/867,121/432 is 65824

Greatest Common Factor of 204,867,432 By Matching Biggest Common Factor Method

Greatest Common Factor of 204,867,432 By Matching Biggest Common Factor Method

Factors of 204

List of positive integer factors of 204 that divides 204 without a remainder.

1,2,3,4,6,12,17,34,51,68,102,204

Factors of 867

List of positive integer factors of 867 that divides 867 without a remainder.

1,3,17,51,289,867

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Greatest Common Factor

We found the factors 204,867,432 . The biggest common factor number is the GCF number.
So the greatest common factor 204,867,432 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 96/204, 17/867, 121/432

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 96/204, 17/867, 121/432?

Answer: LCM of Numerators as per given numbers 96/204, 17/867, 121/432 is

LCM of Numerators i.e. for 96,17,121 is 197472

GCF of denominators i.e. for 204,867,432 is 3.

Thus, LCM of Fractions is 65824.Finally, LCM of Fractions for 96/204, 17/867, 121/432 is 65824.