Least Common Multiple of 577/33, 384/25, 845/46

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 577/33, 384/25, 845/46 quickly i.e. 187224960 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 577/33, 384/25, 845/46 is 187224960.

LCM(577/33, 384/25, 845/46) = 187224960

LCM of 577/33, 384/25, 845/46

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 577/33,384/25,845/46

Given numbers are 577/33,384/25,845/46

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 577,384,845

Least Common Multiple of Numerators i.e. LCM of 577,384,845 is 187224960.

GCF of Denominators means GCF of 33,25,46 as per the given fractions.

GCF of 33,25,46 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 577,384,845

LCM of Fractions 577/33,384/25,845/46 is 187224960

Given numbers has no common factors except 1. So, there LCM is their product i.e 187224960

Least Common Multiple of 577,384,845 with GCF Formula

Least Common Multiple of 577,384,845 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 577,384,845 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(577,384,845) = 1

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

GCF(577,384,845) x common factors =1 x 1 = 1

LCM(577,384,845) = ( 577 × 384 × 845 ) / 1

LCM(577,384,845) = 187224960 / 1

LCM(577,384,845) = 187224960


Lets's calculate GCF of 33,25,46

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187224960/1

Therefore the LCM of Fractions 577/33,384/25,845/46 is 187224960

Greatest Common Factor of 33,25,46 By Matching Biggest Common Factor Method

Greatest Common Factor of 33,25,46 By Matching Biggest Common Factor Method

Factors of 33

List of positive integer factors of 33 that divides 33 without a remainder.

1,3,11,33

Factors of 25

List of positive integer factors of 25 that divides 25 without a remainder.

1,5,25

Factors of 46

List of positive integer factors of 46 that divides 46 without a remainder.

1,2,23,46

Greatest Common Factor

We found the factors 33,25,46 . The biggest common factor number is the GCF number.
So the greatest common factor 33,25,46 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 577/33, 384/25, 845/46

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 577/33, 384/25, 845/46?

Answer: LCM of Numerators as per given numbers 577/33, 384/25, 845/46 is

LCM of Numerators i.e. for 577,384,845 is 187224960

GCF of denominators i.e. for 33,25,46 is 1.

Thus, LCM of Fractions is 187224960.Finally, LCM of Fractions for 577/33, 384/25, 845/46 is 187224960.