Least Common Multiple of 33/75, 192/40, 997/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 33/75, 192/40, 997/774 quickly i.e. 2105664 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 33/75, 192/40, 997/774 is 2105664.

LCM(33/75, 192/40, 997/774) = 2105664

LCM of 33/75, 192/40, 997/774

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 33/75,192/40,997/774

Given numbers are 33/75,192/40,997/774

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 33,192,997

Least Common Multiple of Numerators i.e. LCM of 33,192,997 is 2105664.

GCF of Denominators means GCF of 75,40,774 as per the given fractions.

GCF of 75,40,774 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 33,192,997

LCM of Fractions 33/75,192/40,997/774 is 2105664

3 33, 192, 997
11, 64, 997

∴ So the LCM of the given numbers is 3 x 11 x 64 x 997 = 2105664

Least Common Multiple of 33,192,997 with GCF Formula

Least Common Multiple of 33,192,997 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 33,192,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(33,192,997) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(33,192,997) x common factors =1 x 3 = 3

LCM(33,192,997) = ( 33 × 192 × 997 ) / 3

LCM(33,192,997) = 6316992 / 3

LCM(33,192,997) = 2105664


Lets's calculate GCF of 75,40,774

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2105664/1

Therefore the LCM of Fractions 33/75,192/40,997/774 is 2105664

Greatest Common Factor of 75,40,774 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,40,774 By Matching Biggest Common Factor Method

Factors of 75

List of positive integer factors of 75 that divides 75 without a remainder.

1,3,5,15,25,75

Factors of 40

List of positive integer factors of 40 that divides 40 without a remainder.

1,2,4,5,8,10,20,40

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Greatest Common Factor

We found the factors 75,40,774 . The biggest common factor number is the GCF number.
So the greatest common factor 75,40,774 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 33/75, 192/40, 997/774

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 33/75, 192/40, 997/774?

Answer: LCM of Numerators as per given numbers 33/75, 192/40, 997/774 is

LCM of Numerators i.e. for 33,192,997 is 2105664

GCF of denominators i.e. for 75,40,774 is 1.

Thus, LCM of Fractions is 2105664.Finally, LCM of Fractions for 33/75, 192/40, 997/774 is 2105664.