Least Common Multiple of 253/885, 6336/9696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 253/885, 6336/9696 quickly i.e. 48576 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 253/885, 6336/9696 is 48576.

LCM(253/885, 6336/9696) = 48576

LCM of 253/885, 6336/9696

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 253/885,6336/9696

Given numbers are 253/885,6336/9696

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 253,6336

Least Common Multiple of Numerators i.e. LCM of 253,6336 is 145728.

GCF of Denominators means GCF of 885,9696 as per the given fractions.

GCF of 885,9696 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 253,6336

LCM of Fractions 253/885,6336/9696 is 48576

11 253, 6336
23, 576

∴ So the LCM of the given numbers is 11 x 23 x 576 = 145728

Least Common Multiple of 253,6336 with GCF Formula

Least Common Multiple of 253,6336 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 253,6336 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,6336) = 11

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

GCF(253,6336) x common factors =11 x 1 = 11

LCM(253,6336) = ( 253 × 6336 ) / 11

LCM(253,6336) = 1603008 / 11

LCM(253,6336) = 145728


Lets's calculate GCF of 885,9696

3 885, 9696
295, 3232

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 145728/3

Therefore the LCM of Fractions 253/885,6336/9696 is 48576

Greatest Common Factor of 885,9696 By Matching Biggest Common Factor Method

Greatest Common Factor of 885,9696 By Matching Biggest Common Factor Method

Factors of 885

List of positive integer factors of 885 that divides 885 without a remainder.

1,3,5,15,59,177,295,885

Factors of 9696

List of positive integer factors of 9696 that divides 9696 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,96,101,202,303,404,606,808,1212,1616,2424,3232,4848,9696

Greatest Common Factor

We found the factors 885,9696 . The biggest common factor number is the GCF number.
So the greatest common factor 885,9696 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 253/885, 6336/9696

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 253/885, 6336/9696?

Answer: LCM of Numerators as per given numbers 253/885, 6336/9696 is

LCM of Numerators i.e. for 253,6336 is 145728

GCF of denominators i.e. for 885,9696 is 3.

Thus, LCM of Fractions is 48576.Finally, LCM of Fractions for 253/885, 6336/9696 is 48576.