Least Common Multiple of 20/20, 209/83, 436/258

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 20/20, 209/83, 436/258 quickly i.e. 455620 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/20, 209/83, 436/258 is 455620.

LCM(20/20, 209/83, 436/258) = 455620

LCM of 20/20, 209/83, 436/258

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 20/20,209/83,436/258

Given numbers are 20/20,209/83,436/258

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 20,209,436

Least Common Multiple of Numerators i.e. LCM of 20,209,436 is 455620.

GCF of Denominators means GCF of 20,83,258 as per the given fractions.

GCF of 20,83,258 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,209,436

LCM of Fractions 20/20,209/83,436/258 is 455620

2 20, 209, 436
2 10, 209, 218
5, 209, 109

∴ So the LCM of the given numbers is 2 x 2 x 5 x 209 x 109 = 455620

Least Common Multiple of 20,209,436 with GCF Formula

Least Common Multiple of 20,209,436 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 20,209,436 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,209,436) = 1

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

GCF(20,209,436) x common factors =1 x 4 = 4

LCM(20,209,436) = ( 20 × 209 × 436 ) / 4

LCM(20,209,436) = 1822480 / 4

LCM(20,209,436) = 455620


Lets's calculate GCF of 20,83,258

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 455620/1

Therefore the LCM of Fractions 20/20,209/83,436/258 is 455620

Greatest Common Factor of 20,83,258 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,83,258 By Matching Biggest Common Factor Method

Factors of 20

List of positive integer factors of 20 that divides 20 without a remainder.

1,2,4,5,10,20

Factors of 83

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

1,83

Factors of 258

List of positive integer factors of 258 that divides 258 without a remainder.

1,2,3,6,43,86,129,258

Greatest Common Factor

We found the factors 20,83,258 . The biggest common factor number is the GCF number.
So the greatest common factor 20,83,258 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 20/20, 209/83, 436/258

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 20/20, 209/83, 436/258?

Answer: LCM of Numerators as per given numbers 20/20, 209/83, 436/258 is

LCM of Numerators i.e. for 20,209,436 is 455620

GCF of denominators i.e. for 20,83,258 is 1.

Thus, LCM of Fractions is 455620.Finally, LCM of Fractions for 20/20, 209/83, 436/258 is 455620.