Least Common Multiple of 6306/368, 6591/342

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 6306/368, 6591/342 quickly i.e. 6927141 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 6306/368, 6591/342 is 6927141.

LCM(6306/368, 6591/342) = 6927141

LCM of 6306/368, 6591/342

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 6306/368,6591/342

Given numbers are 6306/368,6591/342

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 6306,6591

Least Common Multiple of Numerators i.e. LCM of 6306,6591 is 13854282.

GCF of Denominators means GCF of 368,342 as per the given fractions.

GCF of 368,342 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 6306,6591

LCM of Fractions 6306/368,6591/342 is 6927141

3 6306, 6591
2102, 2197

∴ So the LCM of the given numbers is 3 x 2102 x 2197 = 13854282

Least Common Multiple of 6306,6591 with GCF Formula

Least Common Multiple of 6306,6591 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 6306,6591 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(6306,6591) = 3

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

GCF(6306,6591) x common factors =3 x 1 = 3

LCM(6306,6591) = ( 6306 × 6591 ) / 3

LCM(6306,6591) = 41562846 / 3

LCM(6306,6591) = 13854282


Lets's calculate GCF of 368,342

2 368, 342
184, 171

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13854282/2

Therefore the LCM of Fractions 6306/368,6591/342 is 6927141

Greatest Common Factor of 368,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 368,342 By Matching Biggest Common Factor Method

Factors of 368

List of positive integer factors of 368 that divides 368 without a remainder.

1,2,4,8,16,23,46,92,184,368

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 368,342 . The biggest common factor number is the GCF number.
So the greatest common factor 368,342 is 2.


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 6306/368, 6591/342

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 6306/368, 6591/342?

Answer: LCM of Numerators as per given numbers 6306/368, 6591/342 is

LCM of Numerators i.e. for 6306,6591 is 13854282

GCF of denominators i.e. for 368,342 is 2.

Thus, LCM of Fractions is 6927141.Finally, LCM of Fractions for 6306/368, 6591/342 is 6927141.