Least Common Multiple of 512/99, 254/9836

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 512/99, 254/9836 quickly i.e. 65024 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 512/99, 254/9836 is 65024.

LCM(512/99, 254/9836) = 65024

LCM of 512/99, 254/9836

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 512/99,254/9836

Given numbers are 512/99,254/9836

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 512,254

Least Common Multiple of Numerators i.e. LCM of 512,254 is 65024.

GCF of Denominators means GCF of 99,9836 as per the given fractions.

GCF of 99,9836 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,254

LCM of Fractions 512/99,254/9836 is 65024

2 512, 254
256, 127

∴ So the LCM of the given numbers is 2 x 256 x 127 = 65024

Least Common Multiple of 512,254 with GCF Formula

Least Common Multiple of 512,254 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 512,254 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,254) = 2

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

GCF(512,254) x common factors =2 x 1 = 2

LCM(512,254) = ( 512 × 254 ) / 2

LCM(512,254) = 130048 / 2

LCM(512,254) = 65024


Lets's calculate GCF of 99,9836

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 65024/1

Therefore the LCM of Fractions 512/99,254/9836 is 65024

Greatest Common Factor of 99,9836 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,9836 By Matching Biggest Common Factor Method

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 9836

List of positive integer factors of 9836 that divides 9836 without a remainder.

1,2,4,2459,4918,9836

Greatest Common Factor

We found the factors 99,9836 . The biggest common factor number is the GCF number.
So the greatest common factor 99,9836 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 512/99, 254/9836

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 512/99, 254/9836?

Answer: LCM of Numerators as per given numbers 512/99, 254/9836 is

LCM of Numerators i.e. for 512,254 is 65024

GCF of denominators i.e. for 99,9836 is 1.

Thus, LCM of Fractions is 65024.Finally, LCM of Fractions for 512/99, 254/9836 is 65024.