Least Common Multiple of 85/81, 59/85, 90/14, 68/238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 85/81, 59/85, 90/14, 68/238 quickly i.e. 180540 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 85/81, 59/85, 90/14, 68/238 is 180540.

LCM(85/81, 59/85, 90/14, 68/238) = 180540

LCM of 85/81, 59/85, 90/14, 68/238

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 85/81,59/85,90/14,68/238

Given numbers are 85/81,59/85,90/14,68/238

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 85,59,90,68

Least Common Multiple of Numerators i.e. LCM of 85,59,90,68 is 180540.

GCF of Denominators means GCF of 81,85,14,238 as per the given fractions.

GCF of 81,85,14,238 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 85,59,90,68

LCM of Fractions 85/81,59/85,90/14,68/238 is 180540

2 85, 59, 90, 68
5 85, 59, 45, 34
17 17, 59, 9, 34
1, 59, 9, 2

∴ So the LCM of the given numbers is 2 x 5 x 17 x 1 x 59 x 9 x 2 = 180540

Least Common Multiple of 85,59,90,68 with GCF Formula

Least Common Multiple of 85,59,90,68 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 85,59,90,68 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(85,59,90,68) = 1

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

GCF(85,59,90,68) x common factors =1 x 170 = 170

LCM(85,59,90,68) = ( 85 × 59 × 90 × 68 ) / 170

LCM(85,59,90,68) = 30691800 / 170

LCM(85,59,90,68) = 180540


Lets's calculate GCF of 81,85,14,238

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 180540/1

Therefore the LCM of Fractions 85/81,59/85,90/14,68/238 is 180540

Greatest Common Factor of 81,85,14,238 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,85,14,238 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 14

List of positive integer factors of 14 that divides 14 without a remainder.

1,2,7,14

Factors of 238

List of positive integer factors of 238 that divides 238 without a remainder.

1,2,7,14,17,34,119,238

Greatest Common Factor

We found the factors 81,85,14,238 . The biggest common factor number is the GCF number.
So the greatest common factor 81,85,14,238 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 85/81, 59/85, 90/14, 68/238

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 85/81, 59/85, 90/14, 68/238?

Answer: LCM of Numerators as per given numbers 85/81, 59/85, 90/14, 68/238 is

LCM of Numerators i.e. for 85,59,90,68 is 180540

GCF of denominators i.e. for 81,85,14,238 is 1.

Thus, LCM of Fractions is 180540.Finally, LCM of Fractions for 85/81, 59/85, 90/14, 68/238 is 180540.