Least Common Multiple of 741/80, 449/3423

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 741/80, 449/3423 quickly i.e. 332709 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 741/80, 449/3423 is 332709.

LCM(741/80, 449/3423) = 332709

LCM of 741/80, 449/3423

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 741/80,449/3423

Given numbers are 741/80,449/3423

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 741,449

Least Common Multiple of Numerators i.e. LCM of 741,449 is 332709.

GCF of Denominators means GCF of 80,3423 as per the given fractions.

GCF of 80,3423 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 741,449

LCM of Fractions 741/80,449/3423 is 332709

Given numbers has no common factors except 1. So, there LCM is their product i.e 332709

Least Common Multiple of 741,449 with GCF Formula

Least Common Multiple of 741,449 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 741,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(741,449) = 1

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

GCF(741,449) x common factors =1 x 1 = 1

LCM(741,449) = ( 741 × 449 ) / 1

LCM(741,449) = 332709 / 1

LCM(741,449) = 332709


Lets's calculate GCF of 80,3423

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 332709/1

Therefore the LCM of Fractions 741/80,449/3423 is 332709

Greatest Common Factor of 80,3423 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,3423 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 3423

List of positive integer factors of 3423 that divides 3423 without a remainder.

1,3,7,21,163,489,1141,3423

Greatest Common Factor

We found the factors 80,3423 . The biggest common factor number is the GCF number.
So the greatest common factor 80,3423 is 1.


LCM of Fractions Calculation Examples

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LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 741/80, 449/3423

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 741/80, 449/3423?

Answer: LCM of Numerators as per given numbers 741/80, 449/3423 is

LCM of Numerators i.e. for 741,449 is 332709

GCF of denominators i.e. for 80,3423 is 1.

Thus, LCM of Fractions is 332709.Finally, LCM of Fractions for 741/80, 449/3423 is 332709.