Least Common Multiple of 18/78, 25/86, 729/810

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 18/78, 25/86, 729/810 quickly i.e. 18225 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 18/78, 25/86, 729/810 is 18225.

LCM(18/78, 25/86, 729/810) = 18225

LCM of 18/78, 25/86, 729/810

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 18/78,25/86,729/810

Given numbers are 18/78,25/86,729/810

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 18,25,729

Least Common Multiple of Numerators i.e. LCM of 18,25,729 is 36450.

GCF of Denominators means GCF of 78,86,810 as per the given fractions.

GCF of 78,86,810 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 18,25,729

LCM of Fractions 18/78,25/86,729/810 is 18225

3 18, 25, 729
3 6, 25, 243
2, 25, 81

∴ So the LCM of the given numbers is 3 x 3 x 2 x 25 x 81 = 36450

Least Common Multiple of 18,25,729 with GCF Formula

Least Common Multiple of 18,25,729 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 18,25,729 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(18,25,729) = 1

common factors(in case of two or more numbers have common factors) = 9

GCF(18,25,729) x common factors =1 x 9 = 9

LCM(18,25,729) = ( 18 × 25 × 729 ) / 9

LCM(18,25,729) = 328050 / 9

LCM(18,25,729) = 36450


Lets's calculate GCF of 78,86,810

2 78, 86, 810
39, 43, 405

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36450/2

Therefore the LCM of Fractions 18/78,25/86,729/810 is 18225

Greatest Common Factor of 78,86,810 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,86,810 By Matching Biggest Common Factor Method

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 86

List of positive integer factors of 86 that divides 86 without a remainder.

1,2,43,86

Factors of 810

List of positive integer factors of 810 that divides 810 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,81,90,135,162,270,405,810

Greatest Common Factor

We found the factors 78,86,810 . The biggest common factor number is the GCF number.
So the greatest common factor 78,86,810 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 18/78, 25/86, 729/810

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 18/78, 25/86, 729/810?

Answer: LCM of Numerators as per given numbers 18/78, 25/86, 729/810 is

LCM of Numerators i.e. for 18,25,729 is 36450

GCF of denominators i.e. for 78,86,810 is 2.

Thus, LCM of Fractions is 18225.Finally, LCM of Fractions for 18/78, 25/86, 729/810 is 18225.