Least Common Multiple of 24/832, 7641/3318

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 24/832, 7641/3318 quickly i.e. 30564 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 24/832, 7641/3318 is 30564.

LCM(24/832, 7641/3318) = 30564

LCM of 24/832, 7641/3318

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 24/832,7641/3318

Given numbers are 24/832,7641/3318

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 24,7641

Least Common Multiple of Numerators i.e. LCM of 24,7641 is 61128.

GCF of Denominators means GCF of 832,3318 as per the given fractions.

GCF of 832,3318 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 24,7641

LCM of Fractions 24/832,7641/3318 is 30564

3 24, 7641
8, 2547

∴ So the LCM of the given numbers is 3 x 8 x 2547 = 61128

Least Common Multiple of 24,7641 with GCF Formula

Least Common Multiple of 24,7641 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 24,7641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(24,7641) = 3

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

GCF(24,7641) x common factors =3 x 1 = 3

LCM(24,7641) = ( 24 × 7641 ) / 3

LCM(24,7641) = 183384 / 3

LCM(24,7641) = 61128


Lets's calculate GCF of 832,3318

2 832, 3318
416, 1659

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 61128/2

Therefore the LCM of Fractions 24/832,7641/3318 is 30564

Greatest Common Factor of 832,3318 By Matching Biggest Common Factor Method

Greatest Common Factor of 832,3318 By Matching Biggest Common Factor Method

Factors of 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Factors of 3318

List of positive integer factors of 3318 that divides 3318 without a remainder.

1,2,3,6,7,14,21,42,79,158,237,474,553,1106,1659,3318

Greatest Common Factor

We found the factors 832,3318 . The biggest common factor number is the GCF number.
So the greatest common factor 832,3318 is 2.


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 24/832, 7641/3318

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 24/832, 7641/3318?

Answer: LCM of Numerators as per given numbers 24/832, 7641/3318 is

LCM of Numerators i.e. for 24,7641 is 61128

GCF of denominators i.e. for 832,3318 is 2.

Thus, LCM of Fractions is 30564.Finally, LCM of Fractions for 24/832, 7641/3318 is 30564.