Least Common Multiple of 14/588, 85/442, 181/271

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 14/588, 85/442, 181/271 quickly i.e. 215390 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 14/588, 85/442, 181/271 is 215390.

LCM(14/588, 85/442, 181/271) = 215390

LCM of 14/588, 85/442, 181/271

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 14/588,85/442,181/271

Given numbers are 14/588,85/442,181/271

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 14,85,181

Least Common Multiple of Numerators i.e. LCM of 14,85,181 is 215390.

GCF of Denominators means GCF of 588,442,271 as per the given fractions.

GCF of 588,442,271 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 14,85,181

LCM of Fractions 14/588,85/442,181/271 is 215390

Given numbers has no common factors except 1. So, there LCM is their product i.e 215390

Least Common Multiple of 14,85,181 with GCF Formula

Least Common Multiple of 14,85,181 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 14,85,181 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,85,181) = 1

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

GCF(14,85,181) x common factors =1 x 1 = 1

LCM(14,85,181) = ( 14 × 85 × 181 ) / 1

LCM(14,85,181) = 215390 / 1

LCM(14,85,181) = 215390


Lets's calculate GCF of 588,442,271

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 215390/1

Therefore the LCM of Fractions 14/588,85/442,181/271 is 215390

Greatest Common Factor of 588,442,271 By Matching Biggest Common Factor Method

Greatest Common Factor of 588,442,271 By Matching Biggest Common Factor Method

Factors of 588

List of positive integer factors of 588 that divides 588 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,49,84,98,147,196,294,588

Factors of 442

List of positive integer factors of 442 that divides 442 without a remainder.

1,2,13,17,26,34,221,442

Factors of 271

List of positive integer factors of 271 that divides 271 without a remainder.

1,271

Greatest Common Factor

We found the factors 588,442,271 . The biggest common factor number is the GCF number.
So the greatest common factor 588,442,271 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 14/588, 85/442, 181/271

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 14/588, 85/442, 181/271?

Answer: LCM of Numerators as per given numbers 14/588, 85/442, 181/271 is

LCM of Numerators i.e. for 14,85,181 is 215390

GCF of denominators i.e. for 588,442,271 is 1.

Thus, LCM of Fractions is 215390.Finally, LCM of Fractions for 14/588, 85/442, 181/271 is 215390.