Least Common Multiple of 1407/721, 2284/2384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 1407/721, 2284/2384 quickly i.e. 3213588 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 1407/721, 2284/2384 is 3213588.

LCM(1407/721, 2284/2384) = 3213588

LCM of 1407/721, 2284/2384

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 1407/721,2284/2384

Given numbers are 1407/721,2284/2384

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 1407,2284

Least Common Multiple of Numerators i.e. LCM of 1407,2284 is 3213588.

GCF of Denominators means GCF of 721,2384 as per the given fractions.

GCF of 721,2384 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 1407,2284

LCM of Fractions 1407/721,2284/2384 is 3213588

Given numbers has no common factors except 1. So, there LCM is their product i.e 3213588

Least Common Multiple of 1407,2284 with GCF Formula

Least Common Multiple of 1407,2284 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 1407,2284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(1407,2284) = 1

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

GCF(1407,2284) x common factors =1 x 1 = 1

LCM(1407,2284) = ( 1407 × 2284 ) / 1

LCM(1407,2284) = 3213588 / 1

LCM(1407,2284) = 3213588


Lets's calculate GCF of 721,2384

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 3213588/1

Therefore the LCM of Fractions 1407/721,2284/2384 is 3213588

Greatest Common Factor of 721,2384 By Matching Biggest Common Factor Method

Greatest Common Factor of 721,2384 By Matching Biggest Common Factor Method

Factors of 721

List of positive integer factors of 721 that divides 721 without a remainder.

1,7,103,721

Factors of 2384

List of positive integer factors of 2384 that divides 2384 without a remainder.

1,2,4,8,16,149,298,596,1192,2384

Greatest Common Factor

We found the factors 721,2384 . The biggest common factor number is the GCF number.
So the greatest common factor 721,2384 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 1407/721, 2284/2384

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 1407/721, 2284/2384?

Answer: LCM of Numerators as per given numbers 1407/721, 2284/2384 is

LCM of Numerators i.e. for 1407,2284 is 3213588

GCF of denominators i.e. for 721,2384 is 1.

Thus, LCM of Fractions is 3213588.Finally, LCM of Fractions for 1407/721, 2284/2384 is 3213588.