Least Common Multiple of 3603/361, 5723/6198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3603/361, 5723/6198 quickly i.e. 20619969 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3603/361, 5723/6198 is 20619969.

LCM(3603/361, 5723/6198) = 20619969

LCM of 3603/361, 5723/6198

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 3603/361,5723/6198

Given numbers are 3603/361,5723/6198

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 3603,5723

Least Common Multiple of Numerators i.e. LCM of 3603,5723 is 20619969.

GCF of Denominators means GCF of 361,6198 as per the given fractions.

GCF of 361,6198 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3603,5723

LCM of Fractions 3603/361,5723/6198 is 20619969

Given numbers has no common factors except 1. So, there LCM is their product i.e 20619969

Least Common Multiple of 3603,5723 with GCF Formula

Least Common Multiple of 3603,5723 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 3603,5723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3603,5723) = 1

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

GCF(3603,5723) x common factors =1 x 1 = 1

LCM(3603,5723) = ( 3603 × 5723 ) / 1

LCM(3603,5723) = 20619969 / 1

LCM(3603,5723) = 20619969


Lets's calculate GCF of 361,6198

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 20619969/1

Therefore the LCM of Fractions 3603/361,5723/6198 is 20619969

Greatest Common Factor of 361,6198 By Matching Biggest Common Factor Method

Greatest Common Factor of 361,6198 By Matching Biggest Common Factor Method

Factors of 361

List of positive integer factors of 361 that divides 361 without a remainder.

1,19,361

Factors of 6198

List of positive integer factors of 6198 that divides 6198 without a remainder.

1,2,3,6,1033,2066,3099,6198

Greatest Common Factor

We found the factors 361,6198 . The biggest common factor number is the GCF number.
So the greatest common factor 361,6198 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 3603/361, 5723/6198

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 3603/361, 5723/6198?

Answer: LCM of Numerators as per given numbers 3603/361, 5723/6198 is

LCM of Numerators i.e. for 3603,5723 is 20619969

GCF of denominators i.e. for 361,6198 is 1.

Thus, LCM of Fractions is 20619969.Finally, LCM of Fractions for 3603/361, 5723/6198 is 20619969.