Least Common Multiple of 1704/830, 5449/3467

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1704/830, 5449/3467 quickly i.e. 9285096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1704/830, 5449/3467 is 9285096.

LCM(1704/830, 5449/3467) = 9285096

LCM of 1704/830, 5449/3467

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 1704/830,5449/3467

Given numbers are 1704/830,5449/3467

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 1704,5449

Least Common Multiple of Numerators i.e. LCM of 1704,5449 is 9285096.

GCF of Denominators means GCF of 830,3467 as per the given fractions.

GCF of 830,3467 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1704,5449

LCM of Fractions 1704/830,5449/3467 is 9285096

Given numbers has no common factors except 1. So, there LCM is their product i.e 9285096

Least Common Multiple of 1704,5449 with GCF Formula

Least Common Multiple of 1704,5449 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 1704,5449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1704,5449) = 1

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

GCF(1704,5449) x common factors =1 x 1 = 1

LCM(1704,5449) = ( 1704 × 5449 ) / 1

LCM(1704,5449) = 9285096 / 1

LCM(1704,5449) = 9285096


Lets's calculate GCF of 830,3467

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 9285096/1

Therefore the LCM of Fractions 1704/830,5449/3467 is 9285096

Greatest Common Factor of 830,3467 By Matching Biggest Common Factor Method

Greatest Common Factor of 830,3467 By Matching Biggest Common Factor Method

Factors of 830

List of positive integer factors of 830 that divides 830 without a remainder.

1,2,5,10,83,166,415,830

Factors of 3467

List of positive integer factors of 3467 that divides 3467 without a remainder.

1,3467

Greatest Common Factor

We found the factors 830,3467 . The biggest common factor number is the GCF number.
So the greatest common factor 830,3467 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 1704/830, 5449/3467

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 1704/830, 5449/3467?

Answer: LCM of Numerators as per given numbers 1704/830, 5449/3467 is

LCM of Numerators i.e. for 1704,5449 is 9285096

GCF of denominators i.e. for 830,3467 is 1.

Thus, LCM of Fractions is 9285096.Finally, LCM of Fractions for 1704/830, 5449/3467 is 9285096.