Least Common Multiple of 449/14, 804/15, 289/73

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 449/14, 804/15, 289/73 quickly i.e. 104327844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 449/14, 804/15, 289/73 is 104327844.

LCM(449/14, 804/15, 289/73) = 104327844

LCM of 449/14, 804/15, 289/73

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 449/14,804/15,289/73

Given numbers are 449/14,804/15,289/73

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 449,804,289

Least Common Multiple of Numerators i.e. LCM of 449,804,289 is 104327844.

GCF of Denominators means GCF of 14,15,73 as per the given fractions.

GCF of 14,15,73 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 449,804,289

LCM of Fractions 449/14,804/15,289/73 is 104327844

Given numbers has no common factors except 1. So, there LCM is their product i.e 104327844

Least Common Multiple of 449,804,289 with GCF Formula

Least Common Multiple of 449,804,289 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 449,804,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,804,289) = 1

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

GCF(449,804,289) x common factors =1 x 1 = 1

LCM(449,804,289) = ( 449 × 804 × 289 ) / 1

LCM(449,804,289) = 104327844 / 1

LCM(449,804,289) = 104327844


Lets's calculate GCF of 14,15,73

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 104327844/1

Therefore the LCM of Fractions 449/14,804/15,289/73 is 104327844

Greatest Common Factor of 14,15,73 By Matching Biggest Common Factor Method

Greatest Common Factor of 14,15,73 By Matching Biggest Common Factor Method

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 15

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

1,3,5,15

Factors of 73

List of positive integer factors of 73 that divides 73 without a remainder.

1,73

Greatest Common Factor

We found the factors 14,15,73 . The biggest common factor number is the GCF number.
So the greatest common factor 14,15,73 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 449/14, 804/15, 289/73

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 449/14, 804/15, 289/73?

Answer: LCM of Numerators as per given numbers 449/14, 804/15, 289/73 is

LCM of Numerators i.e. for 449,804,289 is 104327844

GCF of denominators i.e. for 14,15,73 is 1.

Thus, LCM of Fractions is 104327844.Finally, LCM of Fractions for 449/14, 804/15, 289/73 is 104327844.