Least Common Multiple of 102/23, 288/6729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 102/23, 288/6729 quickly i.e. 4896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 102/23, 288/6729 is 4896.

LCM(102/23, 288/6729) = 4896

LCM of 102/23, 288/6729

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 102/23,288/6729

Given numbers are 102/23,288/6729

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 102,288

Least Common Multiple of Numerators i.e. LCM of 102,288 is 4896.

GCF of Denominators means GCF of 23,6729 as per the given fractions.

GCF of 23,6729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 102,288

LCM of Fractions 102/23,288/6729 is 4896

2 102, 288
3 51, 144
17, 48

∴ So the LCM of the given numbers is 2 x 3 x 17 x 48 = 4896

Least Common Multiple of 102,288 with GCF Formula

Least Common Multiple of 102,288 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 102,288 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(102,288) = 6

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

GCF(102,288) x common factors =6 x 1 = 6

LCM(102,288) = ( 102 × 288 ) / 6

LCM(102,288) = 29376 / 6

LCM(102,288) = 4896


Lets's calculate GCF of 23,6729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 4896/1

Therefore the LCM of Fractions 102/23,288/6729 is 4896

Greatest Common Factor of 23,6729 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,6729 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 6729

List of positive integer factors of 6729 that divides 6729 without a remainder.

1,3,2243,6729

Greatest Common Factor

We found the factors 23,6729 . The biggest common factor number is the GCF number.
So the greatest common factor 23,6729 is 1.


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 102/23, 288/6729

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 102/23, 288/6729?

Answer: LCM of Numerators as per given numbers 102/23, 288/6729 is

LCM of Numerators i.e. for 102,288 is 4896

GCF of denominators i.e. for 23,6729 is 1.

Thus, LCM of Fractions is 4896.Finally, LCM of Fractions for 102/23, 288/6729 is 4896.