Least Common Multiple of 463/792, 9482/4584

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 463/792, 9482/4584 quickly i.e. 4390166/24 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 463/792, 9482/4584 is 4390166/24.

LCM(463/792, 9482/4584) = 4390166/24

LCM of 463/792, 9482/4584

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 463/792,9482/4584

Given numbers are 463/792,9482/4584

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 463,9482

Least Common Multiple of Numerators i.e. LCM of 463,9482 is 4390166.

GCF of Denominators means GCF of 792,4584 as per the given fractions.

GCF of 792,4584 is 24 as it is the largest common factor for these numbers.

Lets's calculate LCM of 463,9482

LCM of Fractions 463/792,9482/4584 is 4390166/24

Given numbers has no common factors except 1. So, there LCM is their product i.e 4390166

Least Common Multiple of 463,9482 with GCF Formula

Least Common Multiple of 463,9482 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 463,9482 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,9482) = 1

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

GCF(463,9482) x common factors =1 x 1 = 1

LCM(463,9482) = ( 463 × 9482 ) / 1

LCM(463,9482) = 4390166 / 1

LCM(463,9482) = 4390166


Lets's calculate GCF of 792,4584

2 792, 4584
2 396, 2292
2 198, 1146
3 99, 573
33, 191

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4390166/24

Therefore the LCM of Fractions 463/792,9482/4584 is 4390166/24

Greatest Common Factor of 792,4584 By Matching Biggest Common Factor Method

Greatest Common Factor of 792,4584 By Matching Biggest Common Factor Method

Factors of 792

List of positive integer factors of 792 that divides 792 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,33,36,44,66,72,88,99,132,198,264,396,792

Factors of 4584

List of positive integer factors of 4584 that divides 4584 without a remainder.

1,2,3,4,6,8,12,24,191,382,573,764,1146,1528,2292,4584

Greatest Common Factor

We found the factors 792,4584 . The biggest common factor number is the GCF number.
So the greatest common factor 792,4584 is 24.


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 463/792, 9482/4584

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 463/792, 9482/4584?

Answer: LCM of Numerators as per given numbers 463/792, 9482/4584 is

LCM of Numerators i.e. for 463,9482 is 4390166

GCF of denominators i.e. for 792,4584 is 24.

Thus, LCM of Fractions is 4390166/24.Finally, LCM of Fractions for 463/792, 9482/4584 is 4390166/24.