Least Common Multiple of 3888/243, 1825/2568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3888/243, 1825/2568 quickly i.e. 2365200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3888/243, 1825/2568 is 2365200.

LCM(3888/243, 1825/2568) = 2365200

LCM of 3888/243, 1825/2568

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 3888/243,1825/2568

Given numbers are 3888/243,1825/2568

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 3888,1825

Least Common Multiple of Numerators i.e. LCM of 3888,1825 is 7095600.

GCF of Denominators means GCF of 243,2568 as per the given fractions.

GCF of 243,2568 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3888,1825

LCM of Fractions 3888/243,1825/2568 is 2365200

Given numbers has no common factors except 1. So, there LCM is their product i.e 7095600

Least Common Multiple of 3888,1825 with GCF Formula

Least Common Multiple of 3888,1825 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 3888,1825 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3888,1825) = 1

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

GCF(3888,1825) x common factors =1 x 1 = 1

LCM(3888,1825) = ( 3888 × 1825 ) / 1

LCM(3888,1825) = 7095600 / 1

LCM(3888,1825) = 7095600


Lets's calculate GCF of 243,2568

3 243, 2568
81, 856

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7095600/3

Therefore the LCM of Fractions 3888/243,1825/2568 is 2365200

Greatest Common Factor of 243,2568 By Matching Biggest Common Factor Method

Greatest Common Factor of 243,2568 By Matching Biggest Common Factor Method

Factors of 243

List of positive integer factors of 243 that divides 243 without a remainder.

1,3,9,27,81,243

Factors of 2568

List of positive integer factors of 2568 that divides 2568 without a remainder.

1,2,3,4,6,8,12,24,107,214,321,428,642,856,1284,2568

Greatest Common Factor

We found the factors 243,2568 . The biggest common factor number is the GCF number.
So the greatest common factor 243,2568 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 3888/243, 1825/2568

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 3888/243, 1825/2568?

Answer: LCM of Numerators as per given numbers 3888/243, 1825/2568 is

LCM of Numerators i.e. for 3888,1825 is 7095600

GCF of denominators i.e. for 243,2568 is 3.

Thus, LCM of Fractions is 2365200.Finally, LCM of Fractions for 3888/243, 1825/2568 is 2365200.