Least Common Multiple of 466/966, 238/586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 466/966, 238/586 quickly i.e. 27727 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 466/966, 238/586 is 27727.

LCM(466/966, 238/586) = 27727

LCM of 466/966, 238/586

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 466/966,238/586

Given numbers are 466/966,238/586

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 466,238

Least Common Multiple of Numerators i.e. LCM of 466,238 is 55454.

GCF of Denominators means GCF of 966,586 as per the given fractions.

GCF of 966,586 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 466,238

LCM of Fractions 466/966,238/586 is 27727

2 466, 238
233, 119

∴ So the LCM of the given numbers is 2 x 233 x 119 = 55454

Least Common Multiple of 466,238 with GCF Formula

Least Common Multiple of 466,238 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 466,238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,238) = 2

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

GCF(466,238) x common factors =2 x 1 = 2

LCM(466,238) = ( 466 × 238 ) / 2

LCM(466,238) = 110908 / 2

LCM(466,238) = 55454


Lets's calculate GCF of 966,586

2 966, 586
483, 293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 55454/2

Therefore the LCM of Fractions 466/966,238/586 is 27727

Greatest Common Factor of 966,586 By Matching Biggest Common Factor Method

Greatest Common Factor of 966,586 By Matching Biggest Common Factor Method

Factors of 966

List of positive integer factors of 966 that divides 966 without a remainder.

1,2,3,6,7,14,21,23,42,46,69,138,161,322,483,966

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Greatest Common Factor

We found the factors 966,586 . The biggest common factor number is the GCF number.
So the greatest common factor 966,586 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 466/966, 238/586

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 466/966, 238/586?

Answer: LCM of Numerators as per given numbers 466/966, 238/586 is

LCM of Numerators i.e. for 466,238 is 55454

GCF of denominators i.e. for 966,586 is 2.

Thus, LCM of Fractions is 27727.Finally, LCM of Fractions for 466/966, 238/586 is 27727.