Least Common Multiple of 3328/512, 9981/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 3328/512, 9981/696 quickly i.e. 4152096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 3328/512, 9981/696 is 4152096.

LCM(3328/512, 9981/696) = 4152096

LCM of 3328/512, 9981/696

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 3328/512,9981/696

Given numbers are 3328/512,9981/696

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 3328,9981

Least Common Multiple of Numerators i.e. LCM of 3328,9981 is 33216768.

GCF of Denominators means GCF of 512,696 as per the given fractions.

GCF of 512,696 is 8 as it is the largest common factor for these numbers.

Lets's calculate LCM of 3328,9981

LCM of Fractions 3328/512,9981/696 is 4152096

Given numbers has no common factors except 1. So, there LCM is their product i.e 33216768

Least Common Multiple of 3328,9981 with GCF Formula

Least Common Multiple of 3328,9981 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 3328,9981 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(3328,9981) = 1

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

GCF(3328,9981) x common factors =1 x 1 = 1

LCM(3328,9981) = ( 3328 × 9981 ) / 1

LCM(3328,9981) = 33216768 / 1

LCM(3328,9981) = 33216768


Lets's calculate GCF of 512,696

2 512, 696
2 256, 348
2 128, 174
64, 87

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 33216768/8

Therefore the LCM of Fractions 3328/512,9981/696 is 4152096

Greatest Common Factor of 512,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 512,696 By Matching Biggest Common Factor Method

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Factors of 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 512,696 . The biggest common factor number is the GCF number.
So the greatest common factor 512,696 is 8.


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 3328/512, 9981/696

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 3328/512, 9981/696?

Answer: LCM of Numerators as per given numbers 3328/512, 9981/696 is

LCM of Numerators i.e. for 3328,9981 is 33216768

GCF of denominators i.e. for 512,696 is 8.

Thus, LCM of Fractions is 4152096.Finally, LCM of Fractions for 3328/512, 9981/696 is 4152096.