Least Common Multiple of 17/363, 74/894, 192/728

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 17/363, 74/894, 192/728 quickly i.e. 120768 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 17/363, 74/894, 192/728 is 120768.

LCM(17/363, 74/894, 192/728) = 120768

LCM of 17/363, 74/894, 192/728

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 17/363,74/894,192/728

Given numbers are 17/363,74/894,192/728

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 17,74,192

Least Common Multiple of Numerators i.e. LCM of 17,74,192 is 120768.

GCF of Denominators means GCF of 363,894,728 as per the given fractions.

GCF of 363,894,728 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 17,74,192

LCM of Fractions 17/363,74/894,192/728 is 120768

2 17, 74, 192
17, 37, 96

∴ So the LCM of the given numbers is 2 x 17 x 37 x 96 = 120768

Least Common Multiple of 17,74,192 with GCF Formula

Least Common Multiple of 17,74,192 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 17,74,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,74,192) = 1

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

GCF(17,74,192) x common factors =1 x 2 = 2

LCM(17,74,192) = ( 17 × 74 × 192 ) / 2

LCM(17,74,192) = 241536 / 2

LCM(17,74,192) = 120768


Lets's calculate GCF of 363,894,728

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 120768/1

Therefore the LCM of Fractions 17/363,74/894,192/728 is 120768

Greatest Common Factor of 363,894,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,894,728 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 363,894,728 . The biggest common factor number is the GCF number.
So the greatest common factor 363,894,728 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 17/363, 74/894, 192/728

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 17/363, 74/894, 192/728?

Answer: LCM of Numerators as per given numbers 17/363, 74/894, 192/728 is

LCM of Numerators i.e. for 17,74,192 is 120768

GCF of denominators i.e. for 363,894,728 is 1.

Thus, LCM of Fractions is 120768.Finally, LCM of Fractions for 17/363, 74/894, 192/728 is 120768.