Least Common Multiple of 483/19, 538/82, 306/71

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 483/19, 538/82, 306/71 quickly i.e. 13252554 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 483/19, 538/82, 306/71 is 13252554.

LCM(483/19, 538/82, 306/71) = 13252554

LCM of 483/19, 538/82, 306/71

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 483/19,538/82,306/71

Given numbers are 483/19,538/82,306/71

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 483,538,306

Least Common Multiple of Numerators i.e. LCM of 483,538,306 is 13252554.

GCF of Denominators means GCF of 19,82,71 as per the given fractions.

GCF of 19,82,71 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 483,538,306

LCM of Fractions 483/19,538/82,306/71 is 13252554

2 483, 538, 306
3 483, 269, 153
161, 269, 51

∴ So the LCM of the given numbers is 2 x 3 x 161 x 269 x 51 = 13252554

Least Common Multiple of 483,538,306 with GCF Formula

Least Common Multiple of 483,538,306 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 483,538,306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(483,538,306) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(483,538,306) x common factors =1 x 6 = 6

LCM(483,538,306) = ( 483 × 538 × 306 ) / 6

LCM(483,538,306) = 79515324 / 6

LCM(483,538,306) = 13252554


Lets's calculate GCF of 19,82,71

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13252554/1

Therefore the LCM of Fractions 483/19,538/82,306/71 is 13252554

Greatest Common Factor of 19,82,71 By Matching Biggest Common Factor Method

Greatest Common Factor of 19,82,71 By Matching Biggest Common Factor Method

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

Factors of 82

List of positive integer factors of 82 that divides 82 without a remainder.

1,2,41,82

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Greatest Common Factor

We found the factors 19,82,71 . The biggest common factor number is the GCF number.
So the greatest common factor 19,82,71 is 1.


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 483/19, 538/82, 306/71

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 483/19, 538/82, 306/71?

Answer: LCM of Numerators as per given numbers 483/19, 538/82, 306/71 is

LCM of Numerators i.e. for 483,538,306 is 13252554

GCF of denominators i.e. for 19,82,71 is 1.

Thus, LCM of Fractions is 13252554.Finally, LCM of Fractions for 483/19, 538/82, 306/71 is 13252554.