Least Common Multiple of 506/48, 327/63, 483/48

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 506/48, 327/63, 483/48 quickly i.e. 386078 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 506/48, 327/63, 483/48 is 386078.

LCM(506/48, 327/63, 483/48) = 386078

LCM of 506/48, 327/63, 483/48

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 506/48,327/63,483/48

Given numbers are 506/48,327/63,483/48

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 506,327,483

Least Common Multiple of Numerators i.e. LCM of 506,327,483 is 1158234.

GCF of Denominators means GCF of 48,63,48 as per the given fractions.

GCF of 48,63,48 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 506,327,483

LCM of Fractions 506/48,327/63,483/48 is 386078

3 506, 327, 483
23 506, 109, 161
22, 109, 7

∴ So the LCM of the given numbers is 3 x 23 x 22 x 109 x 7 = 1158234

Least Common Multiple of 506,327,483 with GCF Formula

Least Common Multiple of 506,327,483 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 506,327,483 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,327,483) = 1

common factors(in case of two or more numbers have common factors) = 69

GCF(506,327,483) x common factors =1 x 69 = 69

LCM(506,327,483) = ( 506 × 327 × 483 ) / 69

LCM(506,327,483) = 79918146 / 69

LCM(506,327,483) = 1158234


Lets's calculate GCF of 48,63,48

3 48, 63, 48
16, 21, 16

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1158234/3

Therefore the LCM of Fractions 506/48,327/63,483/48 is 386078

Greatest Common Factor of 48,63,48 By Matching Biggest Common Factor Method

Greatest Common Factor of 48,63,48 By Matching Biggest Common Factor Method

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 48

List of positive integer factors of 48 that divides 48 without a remainder.

1,2,3,4,6,8,12,16,24,48

Greatest Common Factor

We found the factors 48,63,48 . The biggest common factor number is the GCF number.
So the greatest common factor 48,63,48 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 506/48, 327/63, 483/48

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 506/48, 327/63, 483/48?

Answer: LCM of Numerators as per given numbers 506/48, 327/63, 483/48 is

LCM of Numerators i.e. for 506,327,483 is 1158234

GCF of denominators i.e. for 48,63,48 is 3.

Thus, LCM of Fractions is 386078.Finally, LCM of Fractions for 506/48, 327/63, 483/48 is 386078.