Least Common Multiple of 389/16, 443/1077

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 389/16, 443/1077 quickly i.e. 172327 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 389/16, 443/1077 is 172327.

LCM(389/16, 443/1077) = 172327

LCM of 389/16, 443/1077

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 389/16,443/1077

Given numbers are 389/16,443/1077

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 389,443

Least Common Multiple of Numerators i.e. LCM of 389,443 is 172327.

GCF of Denominators means GCF of 16,1077 as per the given fractions.

GCF of 16,1077 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 389,443

LCM of Fractions 389/16,443/1077 is 172327

Given numbers has no common factors except 1. So, there LCM is their product i.e 172327

Least Common Multiple of 389,443 with GCF Formula

Least Common Multiple of 389,443 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 389,443 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(389,443) = 1

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

GCF(389,443) x common factors =1 x 1 = 1

LCM(389,443) = ( 389 × 443 ) / 1

LCM(389,443) = 172327 / 1

LCM(389,443) = 172327


Lets's calculate GCF of 16,1077

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 172327/1

Therefore the LCM of Fractions 389/16,443/1077 is 172327

Greatest Common Factor of 16,1077 By Matching Biggest Common Factor Method

Greatest Common Factor of 16,1077 By Matching Biggest Common Factor Method

Factors of 16

List of positive integer factors of 16 that divides 16 without a remainder.

1,2,4,8,16

Factors of 1077

List of positive integer factors of 1077 that divides 1077 without a remainder.

1,3,359,1077

Greatest Common Factor

We found the factors 16,1077 . The biggest common factor number is the GCF number.
So the greatest common factor 16,1077 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 389/16, 443/1077

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 389/16, 443/1077?

Answer: LCM of Numerators as per given numbers 389/16, 443/1077 is

LCM of Numerators i.e. for 389,443 is 172327

GCF of denominators i.e. for 16,1077 is 1.

Thus, LCM of Fractions is 172327.Finally, LCM of Fractions for 389/16, 443/1077 is 172327.