Least Common Multiple of 85/68, 30/19, 884/729

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/68, 30/19, 884/729 quickly i.e. 13260 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/68, 30/19, 884/729 is 13260.

LCM(85/68, 30/19, 884/729) = 13260

LCM of 85/68, 30/19, 884/729

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 85/68,30/19,884/729

Given numbers are 85/68,30/19,884/729

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 85,30,884

Least Common Multiple of Numerators i.e. LCM of 85,30,884 is 13260.

GCF of Denominators means GCF of 68,19,729 as per the given fractions.

GCF of 68,19,729 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,30,884

LCM of Fractions 85/68,30/19,884/729 is 13260

2 85, 30, 884
5 85, 15, 442
17 17, 3, 442
1, 3, 26

∴ So the LCM of the given numbers is 2 x 5 x 17 x 1 x 3 x 26 = 13260

Least Common Multiple of 85,30,884 with GCF Formula

Least Common Multiple of 85,30,884 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 85,30,884 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,30,884) = 1

common factors(in case of two or more numbers have common factors) = 170

GCF(85,30,884) x common factors =1 x 170 = 170

LCM(85,30,884) = ( 85 × 30 × 884 ) / 170

LCM(85,30,884) = 2254200 / 170

LCM(85,30,884) = 13260


Lets's calculate GCF of 68,19,729

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 13260/1

Therefore the LCM of Fractions 85/68,30/19,884/729 is 13260

Greatest Common Factor of 68,19,729 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,19,729 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 19

List of positive integer factors of 19 that divides 19 without a remainder.

1,19

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 68,19,729 . The biggest common factor number is the GCF number.
So the greatest common factor 68,19,729 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 85/68, 30/19, 884/729

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 85/68, 30/19, 884/729?

Answer: LCM of Numerators as per given numbers 85/68, 30/19, 884/729 is

LCM of Numerators i.e. for 85,30,884 is 13260

GCF of denominators i.e. for 68,19,729 is 1.

Thus, LCM of Fractions is 13260.Finally, LCM of Fractions for 85/68, 30/19, 884/729 is 13260.