Least Common Multiple of 68/66, 68/78, 18/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 68/66, 68/78, 18/729 quickly i.e. 204 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 68/66, 68/78, 18/729 is 204.

LCM(68/66, 68/78, 18/729) = 204

LCM of 68/66, 68/78, 18/729

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 68/66,68/78,18/729

Given numbers are 68/66,68/78,18/729

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 68,68,18

Least Common Multiple of Numerators i.e. LCM of 68,68,18 is 612.

GCF of Denominators means GCF of 66,78,729 as per the given fractions.

GCF of 66,78,729 is 3 as it is the largest common factor for these numbers.

Lets's calculate LCM of 68,68,18

LCM of Fractions 68/66,68/78,18/729 is 204

2 68, 68, 18
2 34, 34, 9
17 17, 17, 9
1, 1, 9

∴ So the LCM of the given numbers is 2 x 2 x 17 x 1 x 1 x 9 = 612

Least Common Multiple of 68,68,18 with GCF Formula

Least Common Multiple of 68,68,18 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 68,68,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,68,18) = 2

common factors(in case of two or more numbers have common factors) = 68

GCF(68,68,18) x common factors =2 x 68 = 136

LCM(68,68,18) = ( 68 × 68 × 18 ) / 136

LCM(68,68,18) = 83232 / 136

LCM(68,68,18) = 612


Lets's calculate GCF of 66,78,729

3 66, 78, 729
22, 26, 243

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 612/3

Therefore the LCM of Fractions 68/66,68/78,18/729 is 204

Greatest Common Factor of 66,78,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 66,78,729 By Matching Biggest Common Factor Method

Factors of 66

List of positive integer factors of 66 that divides 66 without a remainder.

1,2,3,6,11,22,33,66

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 729

List of positive integer factors of 729 that divides 729 without a remainder.

1,3,9,27,81,243,729

Greatest Common Factor

We found the factors 66,78,729 . The biggest common factor number is the GCF number.
So the greatest common factor 66,78,729 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 68/66, 68/78, 18/729

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 68/66, 68/78, 18/729?

Answer: LCM of Numerators as per given numbers 68/66, 68/78, 18/729 is

LCM of Numerators i.e. for 68,68,18 is 612

GCF of denominators i.e. for 66,78,729 is 3.

Thus, LCM of Fractions is 204.Finally, LCM of Fractions for 68/66, 68/78, 18/729 is 204.