Least Common Multiple of 363/15, 600/1539

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 363/15, 600/1539 quickly i.e. 24200 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 363/15, 600/1539 is 24200.

LCM(363/15, 600/1539) = 24200

LCM of 363/15, 600/1539

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 363/15,600/1539

Given numbers are 363/15,600/1539

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 363,600

Least Common Multiple of Numerators i.e. LCM of 363,600 is 72600.

GCF of Denominators means GCF of 15,1539 as per the given fractions.

GCF of 15,1539 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 363,600

LCM of Fractions 363/15,600/1539 is 24200

3 363, 600
121, 200

∴ So the LCM of the given numbers is 3 x 121 x 200 = 72600

Least Common Multiple of 363,600 with GCF Formula

Least Common Multiple of 363,600 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 363,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(363,600) = 3

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

GCF(363,600) x common factors =3 x 1 = 3

LCM(363,600) = ( 363 × 600 ) / 3

LCM(363,600) = 217800 / 3

LCM(363,600) = 72600


Lets's calculate GCF of 15,1539

3 15, 1539
5, 513

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 72600/3

Therefore the LCM of Fractions 363/15,600/1539 is 24200

Greatest Common Factor of 15,1539 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,1539 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 1539

List of positive integer factors of 1539 that divides 1539 without a remainder.

1,3,9,19,27,57,81,171,513,1539

Greatest Common Factor

We found the factors 15,1539 . The biggest common factor number is the GCF number.
So the greatest common factor 15,1539 is 3.


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 363/15, 600/1539

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 363/15, 600/1539?

Answer: LCM of Numerators as per given numbers 363/15, 600/1539 is

LCM of Numerators i.e. for 363,600 is 72600

GCF of denominators i.e. for 15,1539 is 3.

Thus, LCM of Fractions is 24200.Finally, LCM of Fractions for 363/15, 600/1539 is 24200.