Least Common Multiple of 6379/513, 6846/8229

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6379/513, 6846/8229 quickly i.e. 14556878 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6379/513, 6846/8229 is 14556878.

LCM(6379/513, 6846/8229) = 14556878

LCM of 6379/513, 6846/8229

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 6379/513,6846/8229

Given numbers are 6379/513,6846/8229

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 6379,6846

Least Common Multiple of Numerators i.e. LCM of 6379,6846 is 43670634.

GCF of Denominators means GCF of 513,8229 as per the given fractions.

GCF of 513,8229 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6379,6846

LCM of Fractions 6379/513,6846/8229 is 14556878

Given numbers has no common factors except 1. So, there LCM is their product i.e 43670634

Least Common Multiple of 6379,6846 with GCF Formula

Least Common Multiple of 6379,6846 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 6379,6846 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6379,6846) = 1

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

GCF(6379,6846) x common factors =1 x 1 = 1

LCM(6379,6846) = ( 6379 × 6846 ) / 1

LCM(6379,6846) = 43670634 / 1

LCM(6379,6846) = 43670634


Lets's calculate GCF of 513,8229

3 513, 8229
171, 2743

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 43670634/3

Therefore the LCM of Fractions 6379/513,6846/8229 is 14556878

Greatest Common Factor of 513,8229 By Matching Biggest Common Factor Method

Greatest Common Factor of 513,8229 By Matching Biggest Common Factor Method

Factors of 513

List of positive integer factors of 513 that divides 513 without a remainder.

1,3,9,19,27,57,171,513

Factors of 8229

List of positive integer factors of 8229 that divides 8229 without a remainder.

1,3,13,39,211,633,2743,8229

Greatest Common Factor

We found the factors 513,8229 . The biggest common factor number is the GCF number.
So the greatest common factor 513,8229 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 6379/513, 6846/8229

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 6379/513, 6846/8229?

Answer: LCM of Numerators as per given numbers 6379/513, 6846/8229 is

LCM of Numerators i.e. for 6379,6846 is 43670634

GCF of denominators i.e. for 513,8229 is 3.

Thus, LCM of Fractions is 14556878.Finally, LCM of Fractions for 6379/513, 6846/8229 is 14556878.