Least Common Multiple of 5994/13, 6378/494

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 5994/13, 6378/494 quickly i.e. 6371622/13 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 5994/13, 6378/494 is 6371622/13.

LCM(5994/13, 6378/494) = 6371622/13

LCM of 5994/13, 6378/494

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 5994/13,6378/494

Given numbers are 5994/13,6378/494

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 5994,6378

Least Common Multiple of Numerators i.e. LCM of 5994,6378 is 6371622.

GCF of Denominators means GCF of 13,494 as per the given fractions.

GCF of 13,494 is 13 as it is the largest common factor for these numbers.

Lets's calculate LCM of 5994,6378

LCM of Fractions 5994/13,6378/494 is 6371622/13

2 5994, 6378
3 2997, 3189
999, 1063

∴ So the LCM of the given numbers is 2 x 3 x 999 x 1063 = 6371622

Least Common Multiple of 5994,6378 with GCF Formula

Least Common Multiple of 5994,6378 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 5994,6378 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(5994,6378) = 6

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

GCF(5994,6378) x common factors =6 x 1 = 6

LCM(5994,6378) = ( 5994 × 6378 ) / 6

LCM(5994,6378) = 38229732 / 6

LCM(5994,6378) = 6371622


Lets's calculate GCF of 13,494

13 13, 494
1, 38

∴ So the GCF of the given numbers is 13 = 13

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 6371622/13

Therefore the LCM of Fractions 5994/13,6378/494 is 6371622/13

Greatest Common Factor of 13,494 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,494 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 494

List of positive integer factors of 494 that divides 494 without a remainder.

1,2,13,19,26,38,247,494

Greatest Common Factor

We found the factors 13,494 . The biggest common factor number is the GCF number.
So the greatest common factor 13,494 is 13.


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 5994/13, 6378/494

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 5994/13, 6378/494?

Answer: LCM of Numerators as per given numbers 5994/13, 6378/494 is

LCM of Numerators i.e. for 5994,6378 is 6371622

GCF of denominators i.e. for 13,494 is 13.

Thus, LCM of Fractions is 6371622/13.Finally, LCM of Fractions for 5994/13, 6378/494 is 6371622/13.