Least Common Multiple of 7368/927, 1686/5818

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 7368/927, 1686/5818 quickly i.e. 2070408 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 7368/927, 1686/5818 is 2070408.

LCM(7368/927, 1686/5818) = 2070408

LCM of 7368/927, 1686/5818

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 7368/927,1686/5818

Given numbers are 7368/927,1686/5818

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 7368,1686

Least Common Multiple of Numerators i.e. LCM of 7368,1686 is 2070408.

GCF of Denominators means GCF of 927,5818 as per the given fractions.

GCF of 927,5818 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 7368,1686

LCM of Fractions 7368/927,1686/5818 is 2070408

2 7368, 1686
3 3684, 843
1228, 281

∴ So the LCM of the given numbers is 2 x 3 x 1228 x 281 = 2070408

Least Common Multiple of 7368,1686 with GCF Formula

Least Common Multiple of 7368,1686 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 7368,1686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7368,1686) = 6

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

GCF(7368,1686) x common factors =6 x 1 = 6

LCM(7368,1686) = ( 7368 × 1686 ) / 6

LCM(7368,1686) = 12422448 / 6

LCM(7368,1686) = 2070408


Lets's calculate GCF of 927,5818

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 2070408/1

Therefore the LCM of Fractions 7368/927,1686/5818 is 2070408

Greatest Common Factor of 927,5818 By Matching Biggest Common Factor Method

Greatest Common Factor of 927,5818 By Matching Biggest Common Factor Method

Factors of 927

List of positive integer factors of 927 that divides 927 without a remainder.

1,3,9,103,309,927

Factors of 5818

List of positive integer factors of 5818 that divides 5818 without a remainder.

1,2,2909,5818

Greatest Common Factor

We found the factors 927,5818 . The biggest common factor number is the GCF number.
So the greatest common factor 927,5818 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 7368/927, 1686/5818

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 7368/927, 1686/5818?

Answer: LCM of Numerators as per given numbers 7368/927, 1686/5818 is

LCM of Numerators i.e. for 7368,1686 is 2070408

GCF of denominators i.e. for 927,5818 is 1.

Thus, LCM of Fractions is 2070408.Finally, LCM of Fractions for 7368/927, 1686/5818 is 2070408.