Least Common Multiple of 389/20, 470/8445

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 389/20, 470/8445 quickly i.e. 36566 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 389/20, 470/8445 is 36566.

LCM(389/20, 470/8445) = 36566

LCM of 389/20, 470/8445

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 389/20,470/8445

Given numbers are 389/20,470/8445

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 389,470

Least Common Multiple of Numerators i.e. LCM of 389,470 is 182830.

GCF of Denominators means GCF of 20,8445 as per the given fractions.

GCF of 20,8445 is 5 as it is the largest common factor for these numbers.

Lets's calculate LCM of 389,470

LCM of Fractions 389/20,470/8445 is 36566

Given numbers has no common factors except 1. So, there LCM is their product i.e 182830

Least Common Multiple of 389,470 with GCF Formula

Least Common Multiple of 389,470 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 389,470 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,470) = 1

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

GCF(389,470) x common factors =1 x 1 = 1

LCM(389,470) = ( 389 × 470 ) / 1

LCM(389,470) = 182830 / 1

LCM(389,470) = 182830


Lets's calculate GCF of 20,8445

5 20, 8445
4, 1689

∴ So the GCF of the given numbers is 5 = 5

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 182830/5

Therefore the LCM of Fractions 389/20,470/8445 is 36566

Greatest Common Factor of 20,8445 By Matching Biggest Common Factor Method

Greatest Common Factor of 20,8445 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 8445

List of positive integer factors of 8445 that divides 8445 without a remainder.

1,3,5,15,563,1689,2815,8445

Greatest Common Factor

We found the factors 20,8445 . The biggest common factor number is the GCF number.
So the greatest common factor 20,8445 is 5.


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 389/20, 470/8445

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 389/20, 470/8445?

Answer: LCM of Numerators as per given numbers 389/20, 470/8445 is

LCM of Numerators i.e. for 389,470 is 182830

GCF of denominators i.e. for 20,8445 is 5.

Thus, LCM of Fractions is 36566.Finally, LCM of Fractions for 389/20, 470/8445 is 36566.