Least Common Multiple of 514/15, 496/9983

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 514/15, 496/9983 quickly i.e. 127472 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 514/15, 496/9983 is 127472.

LCM(514/15, 496/9983) = 127472

LCM of 514/15, 496/9983

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 514/15,496/9983

Given numbers are 514/15,496/9983

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 514,496

Least Common Multiple of Numerators i.e. LCM of 514,496 is 127472.

GCF of Denominators means GCF of 15,9983 as per the given fractions.

GCF of 15,9983 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 514,496

LCM of Fractions 514/15,496/9983 is 127472

2 514, 496
257, 248

∴ So the LCM of the given numbers is 2 x 257 x 248 = 127472

Least Common Multiple of 514,496 with GCF Formula

Least Common Multiple of 514,496 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 514,496 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(514,496) = 2

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

GCF(514,496) x common factors =2 x 1 = 2

LCM(514,496) = ( 514 × 496 ) / 2

LCM(514,496) = 254944 / 2

LCM(514,496) = 127472


Lets's calculate GCF of 15,9983

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 127472/1

Therefore the LCM of Fractions 514/15,496/9983 is 127472

Greatest Common Factor of 15,9983 By Matching Biggest Common Factor Method

Greatest Common Factor of 15,9983 By Matching Biggest Common Factor Method

Factors of 15

List of positive integer factors of 15 that divides 15 without a remainder.

1,3,5,15

Factors of 9983

List of positive integer factors of 9983 that divides 9983 without a remainder.

1,67,149,9983

Greatest Common Factor

We found the factors 15,9983 . The biggest common factor number is the GCF number.
So the greatest common factor 15,9983 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 514/15, 496/9983

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 514/15, 496/9983?

Answer: LCM of Numerators as per given numbers 514/15, 496/9983 is

LCM of Numerators i.e. for 514,496 is 127472

GCF of denominators i.e. for 15,9983 is 1.

Thus, LCM of Fractions is 127472.Finally, LCM of Fractions for 514/15, 496/9983 is 127472.