Least Common Multiple of 449/80, 680/5073

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 449/80, 680/5073 quickly i.e. 305320 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 449/80, 680/5073 is 305320.

LCM(449/80, 680/5073) = 305320

LCM of 449/80, 680/5073

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 449/80,680/5073

Given numbers are 449/80,680/5073

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 449,680

Least Common Multiple of Numerators i.e. LCM of 449,680 is 305320.

GCF of Denominators means GCF of 80,5073 as per the given fractions.

GCF of 80,5073 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 449,680

LCM of Fractions 449/80,680/5073 is 305320

Given numbers has no common factors except 1. So, there LCM is their product i.e 305320

Least Common Multiple of 449,680 with GCF Formula

Least Common Multiple of 449,680 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 449,680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(449,680) = 1

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

GCF(449,680) x common factors =1 x 1 = 1

LCM(449,680) = ( 449 × 680 ) / 1

LCM(449,680) = 305320 / 1

LCM(449,680) = 305320


Lets's calculate GCF of 80,5073

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 305320/1

Therefore the LCM of Fractions 449/80,680/5073 is 305320

Greatest Common Factor of 80,5073 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,5073 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 5073

List of positive integer factors of 5073 that divides 5073 without a remainder.

1,3,19,57,89,267,1691,5073

Greatest Common Factor

We found the factors 80,5073 . The biggest common factor number is the GCF number.
So the greatest common factor 80,5073 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 449/80, 680/5073

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 449/80, 680/5073?

Answer: LCM of Numerators as per given numbers 449/80, 680/5073 is

LCM of Numerators i.e. for 449,680 is 305320

GCF of denominators i.e. for 80,5073 is 1.

Thus, LCM of Fractions is 305320.Finally, LCM of Fractions for 449/80, 680/5073 is 305320.