Least Common Multiple of 24/375, 4073/2256

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/375, 4073/2256 quickly i.e. 32584 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/375, 4073/2256 is 32584.

LCM(24/375, 4073/2256) = 32584

LCM of 24/375, 4073/2256

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 24/375,4073/2256

Given numbers are 24/375,4073/2256

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 24,4073

Least Common Multiple of Numerators i.e. LCM of 24,4073 is 97752.

GCF of Denominators means GCF of 375,2256 as per the given fractions.

GCF of 375,2256 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,4073

LCM of Fractions 24/375,4073/2256 is 32584

Given numbers has no common factors except 1. So, there LCM is their product i.e 97752

Least Common Multiple of 24,4073 with GCF Formula

Least Common Multiple of 24,4073 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 24,4073 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,4073) = 1

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

GCF(24,4073) x common factors =1 x 1 = 1

LCM(24,4073) = ( 24 × 4073 ) / 1

LCM(24,4073) = 97752 / 1

LCM(24,4073) = 97752


Lets's calculate GCF of 375,2256

3 375, 2256
125, 752

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 97752/3

Therefore the LCM of Fractions 24/375,4073/2256 is 32584

Greatest Common Factor of 375,2256 By Matching Biggest Common Factor Method

Greatest Common Factor of 375,2256 By Matching Biggest Common Factor Method

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 2256

List of positive integer factors of 2256 that divides 2256 without a remainder.

1,2,3,4,6,8,12,16,24,47,48,94,141,188,282,376,564,752,1128,2256

Greatest Common Factor

We found the factors 375,2256 . The biggest common factor number is the GCF number.
So the greatest common factor 375,2256 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 24/375, 4073/2256

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 24/375, 4073/2256?

Answer: LCM of Numerators as per given numbers 24/375, 4073/2256 is

LCM of Numerators i.e. for 24,4073 is 97752

GCF of denominators i.e. for 375,2256 is 3.

Thus, LCM of Fractions is 32584.Finally, LCM of Fractions for 24/375, 4073/2256 is 32584.