Least Common Multiple of 192/503, 492/129

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 192/503, 492/129 quickly i.e. 7872 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 192/503, 492/129 is 7872.

LCM(192/503, 492/129) = 7872

LCM of 192/503, 492/129

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 192/503,492/129

Given numbers are 192/503,492/129

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 192,492

Least Common Multiple of Numerators i.e. LCM of 192,492 is 7872.

GCF of Denominators means GCF of 503,129 as per the given fractions.

GCF of 503,129 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 192,492

LCM of Fractions 192/503,492/129 is 7872

2 192, 492
2 96, 246
3 48, 123
16, 41

∴ So the LCM of the given numbers is 2 x 2 x 3 x 16 x 41 = 7872

Least Common Multiple of 192,492 with GCF Formula

Least Common Multiple of 192,492 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 192,492 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,492) = 12

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

GCF(192,492) x common factors =12 x 1 = 12

LCM(192,492) = ( 192 × 492 ) / 12

LCM(192,492) = 94464 / 12

LCM(192,492) = 7872


Lets's calculate GCF of 503,129

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 7872/1

Therefore the LCM of Fractions 192/503,492/129 is 7872

Greatest Common Factor of 503,129 By Matching Biggest Common Factor Method

Greatest Common Factor of 503,129 By Matching Biggest Common Factor Method

Factors of 503

List of positive integer factors of 503 that divides 503 without a remainder.

1,503

Factors of 129

List of positive integer factors of 129 that divides 129 without a remainder.

1,3,43,129

Greatest Common Factor

We found the factors 503,129 . The biggest common factor number is the GCF number.
So the greatest common factor 503,129 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 192/503, 492/129

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 192/503, 492/129?

Answer: LCM of Numerators as per given numbers 192/503, 492/129 is

LCM of Numerators i.e. for 192,492 is 7872

GCF of denominators i.e. for 503,129 is 1.

Thus, LCM of Fractions is 7872.Finally, LCM of Fractions for 192/503, 492/129 is 7872.