Least Common Multiple of 286/27, 166/7067

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 286/27, 166/7067 quickly i.e. 23738 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 286/27, 166/7067 is 23738.

LCM(286/27, 166/7067) = 23738

LCM of 286/27, 166/7067

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 286/27,166/7067

Given numbers are 286/27,166/7067

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 286,166

Least Common Multiple of Numerators i.e. LCM of 286,166 is 23738.

GCF of Denominators means GCF of 27,7067 as per the given fractions.

GCF of 27,7067 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 286,166

LCM of Fractions 286/27,166/7067 is 23738

2 286, 166
143, 83

∴ So the LCM of the given numbers is 2 x 143 x 83 = 23738

Least Common Multiple of 286,166 with GCF Formula

Least Common Multiple of 286,166 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 286,166 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,166) = 2

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

GCF(286,166) x common factors =2 x 1 = 2

LCM(286,166) = ( 286 × 166 ) / 2

LCM(286,166) = 47476 / 2

LCM(286,166) = 23738


Lets's calculate GCF of 27,7067

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 23738/1

Therefore the LCM of Fractions 286/27,166/7067 is 23738

Greatest Common Factor of 27,7067 By Matching Biggest Common Factor Method

Greatest Common Factor of 27,7067 By Matching Biggest Common Factor Method

Factors of 27

List of positive integer factors of 27 that divides 27 without a remainder.

1,3,9,27

Factors of 7067

List of positive integer factors of 7067 that divides 7067 without a remainder.

1,37,191,7067

Greatest Common Factor

We found the factors 27,7067 . The biggest common factor number is the GCF number.
So the greatest common factor 27,7067 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 286/27, 166/7067

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 286/27, 166/7067?

Answer: LCM of Numerators as per given numbers 286/27, 166/7067 is

LCM of Numerators i.e. for 286,166 is 23738

GCF of denominators i.e. for 27,7067 is 1.

Thus, LCM of Fractions is 23738.Finally, LCM of Fractions for 286/27, 166/7067 is 23738.