Least Common Multiple of 192/466, 5036/4658

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 192/466, 5036/4658 quickly i.e. 120864 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 192/466, 5036/4658 is 120864.

LCM(192/466, 5036/4658) = 120864

LCM of 192/466, 5036/4658

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 192/466,5036/4658

Given numbers are 192/466,5036/4658

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 192,5036

Least Common Multiple of Numerators i.e. LCM of 192,5036 is 241728.

GCF of Denominators means GCF of 466,4658 as per the given fractions.

GCF of 466,4658 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 192,5036

LCM of Fractions 192/466,5036/4658 is 120864

2 192, 5036
2 96, 2518
48, 1259

∴ So the LCM of the given numbers is 2 x 2 x 48 x 1259 = 241728

Least Common Multiple of 192,5036 with GCF Formula

Least Common Multiple of 192,5036 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 192,5036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,5036) = 4

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

GCF(192,5036) x common factors =4 x 1 = 4

LCM(192,5036) = ( 192 × 5036 ) / 4

LCM(192,5036) = 966912 / 4

LCM(192,5036) = 241728


Lets's calculate GCF of 466,4658

2 466, 4658
233, 2329

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 241728/2

Therefore the LCM of Fractions 192/466,5036/4658 is 120864

Greatest Common Factor of 466,4658 By Matching Biggest Common Factor Method

Greatest Common Factor of 466,4658 By Matching Biggest Common Factor Method

Factors of 466

List of positive integer factors of 466 that divides 466 without a remainder.

1,2,233,466

Factors of 4658

List of positive integer factors of 4658 that divides 4658 without a remainder.

1,2,17,34,137,274,2329,4658

Greatest Common Factor

We found the factors 466,4658 . The biggest common factor number is the GCF number.
So the greatest common factor 466,4658 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 192/466, 5036/4658

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 192/466, 5036/4658?

Answer: LCM of Numerators as per given numbers 192/466, 5036/4658 is

LCM of Numerators i.e. for 192,5036 is 241728

GCF of denominators i.e. for 466,4658 is 2.

Thus, LCM of Fractions is 120864.Finally, LCM of Fractions for 192/466, 5036/4658 is 120864.