Least Common Multiple of 301/209, 5693/8304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 301/209, 5693/8304 quickly i.e. 1713593 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 301/209, 5693/8304 is 1713593.

LCM(301/209, 5693/8304) = 1713593

LCM of 301/209, 5693/8304

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 301/209,5693/8304

Given numbers are 301/209,5693/8304

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 301,5693

Least Common Multiple of Numerators i.e. LCM of 301,5693 is 1713593.

GCF of Denominators means GCF of 209,8304 as per the given fractions.

GCF of 209,8304 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 301,5693

LCM of Fractions 301/209,5693/8304 is 1713593

Given numbers has no common factors except 1. So, there LCM is their product i.e 1713593

Least Common Multiple of 301,5693 with GCF Formula

Least Common Multiple of 301,5693 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 301,5693 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(301,5693) = 1

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

GCF(301,5693) x common factors =1 x 1 = 1

LCM(301,5693) = ( 301 × 5693 ) / 1

LCM(301,5693) = 1713593 / 1

LCM(301,5693) = 1713593


Lets's calculate GCF of 209,8304

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1713593/1

Therefore the LCM of Fractions 301/209,5693/8304 is 1713593

Greatest Common Factor of 209,8304 By Matching Biggest Common Factor Method

Greatest Common Factor of 209,8304 By Matching Biggest Common Factor Method

Factors of 209

List of positive integer factors of 209 that divides 209 without a remainder.

1,11,19,209

Factors of 8304

List of positive integer factors of 8304 that divides 8304 without a remainder.

1,2,3,4,6,8,12,16,24,48,173,346,519,692,1038,1384,2076,2768,4152,8304

Greatest Common Factor

We found the factors 209,8304 . The biggest common factor number is the GCF number.
So the greatest common factor 209,8304 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 301/209, 5693/8304

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 301/209, 5693/8304?

Answer: LCM of Numerators as per given numbers 301/209, 5693/8304 is

LCM of Numerators i.e. for 301,5693 is 1713593

GCF of denominators i.e. for 209,8304 is 1.

Thus, LCM of Fractions is 1713593.Finally, LCM of Fractions for 301/209, 5693/8304 is 1713593.