Least Common Multiple of 19/363, 68/200, 623/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 19/363, 68/200, 623/513 quickly i.e. 804916 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 19/363, 68/200, 623/513 is 804916.

LCM(19/363, 68/200, 623/513) = 804916

LCM of 19/363, 68/200, 623/513

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 19/363,68/200,623/513

Given numbers are 19/363,68/200,623/513

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 19,68,623

Least Common Multiple of Numerators i.e. LCM of 19,68,623 is 804916.

GCF of Denominators means GCF of 363,200,513 as per the given fractions.

GCF of 363,200,513 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 19,68,623

LCM of Fractions 19/363,68/200,623/513 is 804916

Given numbers has no common factors except 1. So, there LCM is their product i.e 804916

Least Common Multiple of 19,68,623 with GCF Formula

Least Common Multiple of 19,68,623 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 19,68,623 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,68,623) = 1

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

GCF(19,68,623) x common factors =1 x 1 = 1

LCM(19,68,623) = ( 19 × 68 × 623 ) / 1

LCM(19,68,623) = 804916 / 1

LCM(19,68,623) = 804916


Lets's calculate GCF of 363,200,513

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 804916/1

Therefore the LCM of Fractions 19/363,68/200,623/513 is 804916

Greatest Common Factor of 363,200,513 By Matching Biggest Common Factor Method

Greatest Common Factor of 363,200,513 By Matching Biggest Common Factor Method

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

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

Greatest Common Factor

We found the factors 363,200,513 . The biggest common factor number is the GCF number.
So the greatest common factor 363,200,513 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 19/363, 68/200, 623/513

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 19/363, 68/200, 623/513?

Answer: LCM of Numerators as per given numbers 19/363, 68/200, 623/513 is

LCM of Numerators i.e. for 19,68,623 is 804916

GCF of denominators i.e. for 363,200,513 is 1.

Thus, LCM of Fractions is 804916.Finally, LCM of Fractions for 19/363, 68/200, 623/513 is 804916.