Least Common Multiple of 363/12, 103/18, 577/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/12, 103/18, 577/589 quickly i.e. 21573453 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/12, 103/18, 577/589 is 21573453.

LCM(363/12, 103/18, 577/589) = 21573453

LCM of 363/12, 103/18, 577/589

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 363/12,103/18,577/589

Given numbers are 363/12,103/18,577/589

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 363,103,577

Least Common Multiple of Numerators i.e. LCM of 363,103,577 is 21573453.

GCF of Denominators means GCF of 12,18,589 as per the given fractions.

GCF of 12,18,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,103,577

LCM of Fractions 363/12,103/18,577/589 is 21573453

Given numbers has no common factors except 1. So, there LCM is their product i.e 21573453

Least Common Multiple of 363,103,577 with GCF Formula

Least Common Multiple of 363,103,577 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 363,103,577 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,103,577) = 1

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

GCF(363,103,577) x common factors =1 x 1 = 1

LCM(363,103,577) = ( 363 × 103 × 577 ) / 1

LCM(363,103,577) = 21573453 / 1

LCM(363,103,577) = 21573453


Lets's calculate GCF of 12,18,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 21573453/1

Therefore the LCM of Fractions 363/12,103/18,577/589 is 21573453

Greatest Common Factor of 12,18,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 12,18,589 By Matching Biggest Common Factor Method

Factors of 12

List of positive integer factors of 12 that divides 12 without a remainder.

1,2,3,4,6,12

Factors of 18

List of positive integer factors of 18 that divides 18 without a remainder.

1,2,3,6,9,18

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 12,18,589 . The biggest common factor number is the GCF number.
So the greatest common factor 12,18,589 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 363/12, 103/18, 577/589

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 363/12, 103/18, 577/589?

Answer: LCM of Numerators as per given numbers 363/12, 103/18, 577/589 is

LCM of Numerators i.e. for 363,103,577 is 21573453

GCF of denominators i.e. for 12,18,589 is 1.

Thus, LCM of Fractions is 21573453.Finally, LCM of Fractions for 363/12, 103/18, 577/589 is 21573453.