Least Common Multiple of 9728/123, 6102/666

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 9728/123, 6102/666 quickly i.e. 9893376 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 9728/123, 6102/666 is 9893376.

LCM(9728/123, 6102/666) = 9893376

LCM of 9728/123, 6102/666

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 9728/123,6102/666

Given numbers are 9728/123,6102/666

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 9728,6102

Least Common Multiple of Numerators i.e. LCM of 9728,6102 is 29680128.

GCF of Denominators means GCF of 123,666 as per the given fractions.

GCF of 123,666 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 9728,6102

LCM of Fractions 9728/123,6102/666 is 9893376

2 9728, 6102
4864, 3051

∴ So the LCM of the given numbers is 2 x 4864 x 3051 = 29680128

Least Common Multiple of 9728,6102 with GCF Formula

Least Common Multiple of 9728,6102 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 9728,6102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(9728,6102) = 2

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

GCF(9728,6102) x common factors =2 x 1 = 2

LCM(9728,6102) = ( 9728 × 6102 ) / 2

LCM(9728,6102) = 59360256 / 2

LCM(9728,6102) = 29680128


Lets's calculate GCF of 123,666

3 123, 666
41, 222

∴ So the GCF of the given numbers is 3 = 3

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 29680128/3

Therefore the LCM of Fractions 9728/123,6102/666 is 9893376

Greatest Common Factor of 123,666 By Matching Biggest Common Factor Method

Greatest Common Factor of 123,666 By Matching Biggest Common Factor Method

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 666

List of positive integer factors of 666 that divides 666 without a remainder.

1,2,3,6,9,18,37,74,111,222,333,666

Greatest Common Factor

We found the factors 123,666 . The biggest common factor number is the GCF number.
So the greatest common factor 123,666 is 3.


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 9728/123, 6102/666

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 9728/123, 6102/666?

Answer: LCM of Numerators as per given numbers 9728/123, 6102/666 is

LCM of Numerators i.e. for 9728,6102 is 29680128

GCF of denominators i.e. for 123,666 is 3.

Thus, LCM of Fractions is 9893376.Finally, LCM of Fractions for 9728/123, 6102/666 is 9893376.