Least Common Multiple of 3825/288, 6852/781

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3825/288, 6852/781 quickly i.e. 8736300 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3825/288, 6852/781 is 8736300.

LCM(3825/288, 6852/781) = 8736300

LCM of 3825/288, 6852/781

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 3825/288,6852/781

Given numbers are 3825/288,6852/781

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 3825,6852

Least Common Multiple of Numerators i.e. LCM of 3825,6852 is 8736300.

GCF of Denominators means GCF of 288,781 as per the given fractions.

GCF of 288,781 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3825,6852

LCM of Fractions 3825/288,6852/781 is 8736300

3 3825, 6852
1275, 2284

∴ So the LCM of the given numbers is 3 x 1275 x 2284 = 8736300

Least Common Multiple of 3825,6852 with GCF Formula

Least Common Multiple of 3825,6852 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 3825,6852 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3825,6852) = 3

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

GCF(3825,6852) x common factors =3 x 1 = 3

LCM(3825,6852) = ( 3825 × 6852 ) / 3

LCM(3825,6852) = 26208900 / 3

LCM(3825,6852) = 8736300


Lets's calculate GCF of 288,781

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 8736300/1

Therefore the LCM of Fractions 3825/288,6852/781 is 8736300

Greatest Common Factor of 288,781 By Matching Biggest Common Factor Method

Greatest Common Factor of 288,781 By Matching Biggest Common Factor Method

Factors of 288

List of positive integer factors of 288 that divides 288 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,32,36,48,72,96,144,288

Factors of 781

List of positive integer factors of 781 that divides 781 without a remainder.

1,11,71,781

Greatest Common Factor

We found the factors 288,781 . The biggest common factor number is the GCF number.
So the greatest common factor 288,781 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 3825/288, 6852/781

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 3825/288, 6852/781?

Answer: LCM of Numerators as per given numbers 3825/288, 6852/781 is

LCM of Numerators i.e. for 3825,6852 is 8736300

GCF of denominators i.e. for 288,781 is 1.

Thus, LCM of Fractions is 8736300.Finally, LCM of Fractions for 3825/288, 6852/781 is 8736300.