Least Common Multiple of 83/21, 793/82, 589/572

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 83/21, 793/82, 589/572 quickly i.e. 38767391 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 83/21, 793/82, 589/572 is 38767391.

LCM(83/21, 793/82, 589/572) = 38767391

LCM of 83/21, 793/82, 589/572

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 83/21,793/82,589/572

Given numbers are 83/21,793/82,589/572

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 83,793,589

Least Common Multiple of Numerators i.e. LCM of 83,793,589 is 38767391.

GCF of Denominators means GCF of 21,82,572 as per the given fractions.

GCF of 21,82,572 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 83,793,589

LCM of Fractions 83/21,793/82,589/572 is 38767391

Given numbers has no common factors except 1. So, there LCM is their product i.e 38767391

Least Common Multiple of 83,793,589 with GCF Formula

Least Common Multiple of 83,793,589 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 83,793,589 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,793,589) = 1

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

GCF(83,793,589) x common factors =1 x 1 = 1

LCM(83,793,589) = ( 83 × 793 × 589 ) / 1

LCM(83,793,589) = 38767391 / 1

LCM(83,793,589) = 38767391


Lets's calculate GCF of 21,82,572

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38767391/1

Therefore the LCM of Fractions 83/21,793/82,589/572 is 38767391

Greatest Common Factor of 21,82,572 By Matching Biggest Common Factor Method

Greatest Common Factor of 21,82,572 By Matching Biggest Common Factor Method

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Factors of 82

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

1,2,41,82

Factors of 572

List of positive integer factors of 572 that divides 572 without a remainder.

1,2,4,11,13,22,26,44,52,143,286,572

Greatest Common Factor

We found the factors 21,82,572 . The biggest common factor number is the GCF number.
So the greatest common factor 21,82,572 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 83/21, 793/82, 589/572

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 83/21, 793/82, 589/572?

Answer: LCM of Numerators as per given numbers 83/21, 793/82, 589/572 is

LCM of Numerators i.e. for 83,793,589 is 38767391

GCF of denominators i.e. for 21,82,572 is 1.

Thus, LCM of Fractions is 38767391.Finally, LCM of Fractions for 83/21, 793/82, 589/572 is 38767391.