Least Common Multiple of 828/384, 3303/9792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 828/384, 3303/9792 quickly i.e. 303876/192 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 828/384, 3303/9792 is 303876/192.

LCM(828/384, 3303/9792) = 303876/192

LCM of 828/384, 3303/9792

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 828/384,3303/9792

Given numbers are 828/384,3303/9792

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 828,3303

Least Common Multiple of Numerators i.e. LCM of 828,3303 is 303876.

GCF of Denominators means GCF of 384,9792 as per the given fractions.

GCF of 384,9792 is 192 as it is the largest common factor for these numbers.

Lets's calculate LCM of 828,3303

LCM of Fractions 828/384,3303/9792 is 303876/192

3 828, 3303
3 276, 1101
92, 367

∴ So the LCM of the given numbers is 3 x 3 x 92 x 367 = 303876

Least Common Multiple of 828,3303 with GCF Formula

Least Common Multiple of 828,3303 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 828,3303 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(828,3303) = 9

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

GCF(828,3303) x common factors =9 x 1 = 9

LCM(828,3303) = ( 828 × 3303 ) / 9

LCM(828,3303) = 2734884 / 9

LCM(828,3303) = 303876


Lets's calculate GCF of 384,9792

2 384, 9792
2 192, 4896
2 96, 2448
2 48, 1224
2 24, 612
2 12, 306
3 6, 153
2, 51

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 x 2 x 3 = 192

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 303876/192

Therefore the LCM of Fractions 828/384,3303/9792 is 303876/192

Greatest Common Factor of 384,9792 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,9792 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,384

Factors of 9792

List of positive integer factors of 9792 that divides 9792 without a remainder.

1,2,3,4,6,8,9,12,16,17,18,24,32,34,36,48,51,64,68,72,96,102,136,144,153,192,204,272,288,306,408,544,576,612,816,1088,1224,1632,2448,3264,4896,9792

Greatest Common Factor

We found the factors 384,9792 . The biggest common factor number is the GCF number.
So the greatest common factor 384,9792 is 192.


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 828/384, 3303/9792

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 828/384, 3303/9792?

Answer: LCM of Numerators as per given numbers 828/384, 3303/9792 is

LCM of Numerators i.e. for 828,3303 is 303876

GCF of denominators i.e. for 384,9792 is 192.

Thus, LCM of Fractions is 303876/192.Finally, LCM of Fractions for 828/384, 3303/9792 is 303876/192.