Least Common Multiple of 501/10, 384/7768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 501/10, 384/7768 quickly i.e. 32064 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 501/10, 384/7768 is 32064.

LCM(501/10, 384/7768) = 32064

LCM of 501/10, 384/7768

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 501/10,384/7768

Given numbers are 501/10,384/7768

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 501,384

Least Common Multiple of Numerators i.e. LCM of 501,384 is 64128.

GCF of Denominators means GCF of 10,7768 as per the given fractions.

GCF of 10,7768 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 501,384

LCM of Fractions 501/10,384/7768 is 32064

3 501, 384
167, 128

∴ So the LCM of the given numbers is 3 x 167 x 128 = 64128

Least Common Multiple of 501,384 with GCF Formula

Least Common Multiple of 501,384 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 501,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(501,384) = 3

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

GCF(501,384) x common factors =3 x 1 = 3

LCM(501,384) = ( 501 × 384 ) / 3

LCM(501,384) = 192384 / 3

LCM(501,384) = 64128


Lets's calculate GCF of 10,7768

2 10, 7768
5, 3884

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 64128/2

Therefore the LCM of Fractions 501/10,384/7768 is 32064

Greatest Common Factor of 10,7768 By Matching Biggest Common Factor Method

Greatest Common Factor of 10,7768 By Matching Biggest Common Factor Method

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 7768

List of positive integer factors of 7768 that divides 7768 without a remainder.

1,2,4,8,971,1942,3884,7768

Greatest Common Factor

We found the factors 10,7768 . The biggest common factor number is the GCF number.
So the greatest common factor 10,7768 is 2.


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 501/10, 384/7768

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 501/10, 384/7768?

Answer: LCM of Numerators as per given numbers 501/10, 384/7768 is

LCM of Numerators i.e. for 501,384 is 64128

GCF of denominators i.e. for 10,7768 is 2.

Thus, LCM of Fractions is 32064.Finally, LCM of Fractions for 501/10, 384/7768 is 32064.