Least Common Multiple of 512/99, 132/6919

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 512/99, 132/6919 quickly i.e. 1536 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, 132/6919 is 1536.

LCM(512/99, 132/6919) = 1536

LCM of 512/99, 132/6919

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 512/99,132/6919

Given numbers are 512/99,132/6919

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 512,132

Least Common Multiple of Numerators i.e. LCM of 512,132 is 16896.

GCF of Denominators means GCF of 99,6919 as per the given fractions.

GCF of 99,6919 is 11 as it is the largest common factor for these numbers.

Lets's calculate LCM of 512,132

LCM of Fractions 512/99,132/6919 is 1536

2 512, 132
2 256, 66
128, 33

∴ So the LCM of the given numbers is 2 x 2 x 128 x 33 = 16896

Least Common Multiple of 512,132 with GCF Formula

Least Common Multiple of 512,132 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 512,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(512,132) = 4

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

GCF(512,132) x common factors =4 x 1 = 4

LCM(512,132) = ( 512 × 132 ) / 4

LCM(512,132) = 67584 / 4

LCM(512,132) = 16896


Lets's calculate GCF of 99,6919

11 99, 6919
9, 629

∴ So the GCF of the given numbers is 11 = 11

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16896/11

Therefore the LCM of Fractions 512/99,132/6919 is 1536

Greatest Common Factor of 99,6919 By Matching Biggest Common Factor Method

Greatest Common Factor of 99,6919 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 6919

List of positive integer factors of 6919 that divides 6919 without a remainder.

1,11,17,37,187,407,629,6919

Greatest Common Factor

We found the factors 99,6919 . The biggest common factor number is the GCF number.
So the greatest common factor 99,6919 is 11.


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 512/99, 132/6919

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, 132/6919?

Answer: LCM of Numerators as per given numbers 512/99, 132/6919 is

LCM of Numerators i.e. for 512,132 is 16896

GCF of denominators i.e. for 99,6919 is 11.

Thus, LCM of Fractions is 1536.Finally, LCM of Fractions for 512/99, 132/6919 is 1536.