Least Common Multiple of 6429/822, 7423/1593

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6429/822, 7423/1593 quickly i.e. 15907489 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6429/822, 7423/1593 is 15907489.

LCM(6429/822, 7423/1593) = 15907489

LCM of 6429/822, 7423/1593

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 6429/822,7423/1593

Given numbers are 6429/822,7423/1593

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 6429,7423

Least Common Multiple of Numerators i.e. LCM of 6429,7423 is 47722467.

GCF of Denominators means GCF of 822,1593 as per the given fractions.

GCF of 822,1593 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6429,7423

LCM of Fractions 6429/822,7423/1593 is 15907489

Given numbers has no common factors except 1. So, there LCM is their product i.e 47722467

Least Common Multiple of 6429,7423 with GCF Formula

Least Common Multiple of 6429,7423 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 6429,7423 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6429,7423) = 1

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

GCF(6429,7423) x common factors =1 x 1 = 1

LCM(6429,7423) = ( 6429 × 7423 ) / 1

LCM(6429,7423) = 47722467 / 1

LCM(6429,7423) = 47722467


Lets's calculate GCF of 822,1593

3 822, 1593
274, 531

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 47722467/3

Therefore the LCM of Fractions 6429/822,7423/1593 is 15907489

Greatest Common Factor of 822,1593 By Matching Biggest Common Factor Method

Greatest Common Factor of 822,1593 By Matching Biggest Common Factor Method

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 1593

List of positive integer factors of 1593 that divides 1593 without a remainder.

1,3,9,27,59,177,531,1593

Greatest Common Factor

We found the factors 822,1593 . The biggest common factor number is the GCF number.
So the greatest common factor 822,1593 is 3.


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 6429/822, 7423/1593

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 6429/822, 7423/1593?

Answer: LCM of Numerators as per given numbers 6429/822, 7423/1593 is

LCM of Numerators i.e. for 6429,7423 is 47722467

GCF of denominators i.e. for 822,1593 is 3.

Thus, LCM of Fractions is 15907489.Finally, LCM of Fractions for 6429/822, 7423/1593 is 15907489.