Least Common Multiple of 20/829, 8723/3427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 20/829, 8723/3427 quickly i.e. 174460 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 20/829, 8723/3427 is 174460.

LCM(20/829, 8723/3427) = 174460

LCM of 20/829, 8723/3427

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 20/829,8723/3427

Given numbers are 20/829,8723/3427

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 20,8723

Least Common Multiple of Numerators i.e. LCM of 20,8723 is 174460.

GCF of Denominators means GCF of 829,3427 as per the given fractions.

GCF of 829,3427 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 20,8723

LCM of Fractions 20/829,8723/3427 is 174460

Given numbers has no common factors except 1. So, there LCM is their product i.e 174460

Least Common Multiple of 20,8723 with GCF Formula

Least Common Multiple of 20,8723 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 20,8723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,8723) = 1

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

GCF(20,8723) x common factors =1 x 1 = 1

LCM(20,8723) = ( 20 × 8723 ) / 1

LCM(20,8723) = 174460 / 1

LCM(20,8723) = 174460


Lets's calculate GCF of 829,3427

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 174460/1

Therefore the LCM of Fractions 20/829,8723/3427 is 174460

Greatest Common Factor of 829,3427 By Matching Biggest Common Factor Method

Greatest Common Factor of 829,3427 By Matching Biggest Common Factor Method

Factors of 829

List of positive integer factors of 829 that divides 829 without a remainder.

1,829

Factors of 3427

List of positive integer factors of 3427 that divides 3427 without a remainder.

1,23,149,3427

Greatest Common Factor

We found the factors 829,3427 . The biggest common factor number is the GCF number.
So the greatest common factor 829,3427 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 20/829, 8723/3427

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 20/829, 8723/3427?

Answer: LCM of Numerators as per given numbers 20/829, 8723/3427 is

LCM of Numerators i.e. for 20,8723 is 174460

GCF of denominators i.e. for 829,3427 is 1.

Thus, LCM of Fractions is 174460.Finally, LCM of Fractions for 20/829, 8723/3427 is 174460.