Least Common Multiple of 20/469, 23/619, 529/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/469, 23/619, 529/289 quickly i.e. 10580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/469, 23/619, 529/289 is 10580.

LCM(20/469, 23/619, 529/289) = 10580

LCM of 20/469, 23/619, 529/289

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 20/469,23/619,529/289

Given numbers are 20/469,23/619,529/289

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 20,23,529

Least Common Multiple of Numerators i.e. LCM of 20,23,529 is 10580.

GCF of Denominators means GCF of 469,619,289 as per the given fractions.

GCF of 469,619,289 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,23,529

LCM of Fractions 20/469,23/619,529/289 is 10580

23 20, 23, 529
20, 1, 23

∴ So the LCM of the given numbers is 23 x 20 x 1 x 23 = 10580

Least Common Multiple of 20,23,529 with GCF Formula

Least Common Multiple of 20,23,529 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 20,23,529 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,23,529) = 1

common factors(in case of two or more numbers have common factors) = 23

GCF(20,23,529) x common factors =1 x 23 = 23

LCM(20,23,529) = ( 20 × 23 × 529 ) / 23

LCM(20,23,529) = 243340 / 23

LCM(20,23,529) = 10580


Lets's calculate GCF of 469,619,289

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 10580/1

Therefore the LCM of Fractions 20/469,23/619,529/289 is 10580

Greatest Common Factor of 469,619,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 469,619,289 By Matching Biggest Common Factor Method

Factors of 469

List of positive integer factors of 469 that divides 469 without a remainder.

1,7,67,469

Factors of 619

List of positive integer factors of 619 that divides 619 without a remainder.

1,619

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 469,619,289 . The biggest common factor number is the GCF number.
So the greatest common factor 469,619,289 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 20/469, 23/619, 529/289

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 20/469, 23/619, 529/289?

Answer: LCM of Numerators as per given numbers 20/469, 23/619, 529/289 is

LCM of Numerators i.e. for 20,23,529 is 10580

GCF of denominators i.e. for 469,619,289 is 1.

Thus, LCM of Fractions is 10580.Finally, LCM of Fractions for 20/469, 23/619, 529/289 is 10580.