Least Common Multiple of 144/166, 538/286

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 144/166, 538/286 quickly i.e. 19368 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 144/166, 538/286 is 19368.

LCM(144/166, 538/286) = 19368

LCM of 144/166, 538/286

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 144/166,538/286

Given numbers are 144/166,538/286

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 144,538

Least Common Multiple of Numerators i.e. LCM of 144,538 is 38736.

GCF of Denominators means GCF of 166,286 as per the given fractions.

GCF of 166,286 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 144,538

LCM of Fractions 144/166,538/286 is 19368

2 144, 538
72, 269

∴ So the LCM of the given numbers is 2 x 72 x 269 = 38736

Least Common Multiple of 144,538 with GCF Formula

Least Common Multiple of 144,538 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 144,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(144,538) = 2

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

GCF(144,538) x common factors =2 x 1 = 2

LCM(144,538) = ( 144 × 538 ) / 2

LCM(144,538) = 77472 / 2

LCM(144,538) = 38736


Lets's calculate GCF of 166,286

2 166, 286
83, 143

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 38736/2

Therefore the LCM of Fractions 144/166,538/286 is 19368

Greatest Common Factor of 166,286 By Matching Biggest Common Factor Method

Greatest Common Factor of 166,286 By Matching Biggest Common Factor Method

Factors of 166

List of positive integer factors of 166 that divides 166 without a remainder.

1,2,83,166

Factors of 286

List of positive integer factors of 286 that divides 286 without a remainder.

1,2,11,13,22,26,143,286

Greatest Common Factor

We found the factors 166,286 . The biggest common factor number is the GCF number.
So the greatest common factor 166,286 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 144/166, 538/286

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 144/166, 538/286?

Answer: LCM of Numerators as per given numbers 144/166, 538/286 is

LCM of Numerators i.e. for 144,538 is 38736

GCF of denominators i.e. for 166,286 is 2.

Thus, LCM of Fractions is 19368.Finally, LCM of Fractions for 144/166, 538/286 is 19368.