Least Common Multiple of 20/83, 38/86, 82/82, 73/403

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/83, 38/86, 82/82, 73/403 quickly i.e. 1137340 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/83, 38/86, 82/82, 73/403 is 1137340.

LCM(20/83, 38/86, 82/82, 73/403) = 1137340

LCM of 20/83, 38/86, 82/82, 73/403

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 20/83,38/86,82/82,73/403

Given numbers are 20/83,38/86,82/82,73/403

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 20,38,82,73

Least Common Multiple of Numerators i.e. LCM of 20,38,82,73 is 1137340.

GCF of Denominators means GCF of 83,86,82,403 as per the given fractions.

GCF of 83,86,82,403 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,38,82,73

LCM of Fractions 20/83,38/86,82/82,73/403 is 1137340

2 20, 38, 82, 73
10, 19, 41, 73

∴ So the LCM of the given numbers is 2 x 10 x 19 x 41 x 73 = 1137340

Least Common Multiple of 20,38,82,73 with GCF Formula

Least Common Multiple of 20,38,82,73 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 20,38,82,73 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,38,82,73) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(20,38,82,73) x common factors =1 x 4 = 4

LCM(20,38,82,73) = ( 20 × 38 × 82 × 73 ) / 4

LCM(20,38,82,73) = 4549360 / 4

LCM(20,38,82,73) = 1137340


Lets's calculate GCF of 83,86,82,403

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1137340/1

Therefore the LCM of Fractions 20/83,38/86,82/82,73/403 is 1137340

Greatest Common Factor of 83,86,82,403 By Matching Biggest Common Factor Method

Greatest Common Factor of 83,86,82,403 By Matching Biggest Common Factor Method

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 82

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

1,2,41,82

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Greatest Common Factor

We found the factors 83,86,82,403 . The biggest common factor number is the GCF number.
So the greatest common factor 83,86,82,403 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 20/83, 38/86, 82/82, 73/403

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 20/83, 38/86, 82/82, 73/403?

Answer: LCM of Numerators as per given numbers 20/83, 38/86, 82/82, 73/403 is

LCM of Numerators i.e. for 20,38,82,73 is 1137340

GCF of denominators i.e. for 83,86,82,403 is 1.

Thus, LCM of Fractions is 1137340.Finally, LCM of Fractions for 20/83, 38/86, 82/82, 73/403 is 1137340.