Least Common Multiple of 87/802, 81/593, 285/214

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 87/802, 81/593, 285/214 quickly i.e. 223155 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 87/802, 81/593, 285/214 is 223155.

LCM(87/802, 81/593, 285/214) = 223155

LCM of 87/802, 81/593, 285/214

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 87/802,81/593,285/214

Given numbers are 87/802,81/593,285/214

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 87,81,285

Least Common Multiple of Numerators i.e. LCM of 87,81,285 is 223155.

GCF of Denominators means GCF of 802,593,214 as per the given fractions.

GCF of 802,593,214 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 87,81,285

LCM of Fractions 87/802,81/593,285/214 is 223155

3 87, 81, 285
29, 27, 95

∴ So the LCM of the given numbers is 3 x 29 x 27 x 95 = 223155

Least Common Multiple of 87,81,285 with GCF Formula

Least Common Multiple of 87,81,285 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 87,81,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,81,285) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(87,81,285) x common factors =3 x 3 = 9

LCM(87,81,285) = ( 87 × 81 × 285 ) / 9

LCM(87,81,285) = 2008395 / 9

LCM(87,81,285) = 223155


Lets's calculate GCF of 802,593,214

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 223155/1

Therefore the LCM of Fractions 87/802,81/593,285/214 is 223155

Greatest Common Factor of 802,593,214 By Matching Biggest Common Factor Method

Greatest Common Factor of 802,593,214 By Matching Biggest Common Factor Method

Factors of 802

List of positive integer factors of 802 that divides 802 without a remainder.

1,2,401,802

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Greatest Common Factor

We found the factors 802,593,214 . The biggest common factor number is the GCF number.
So the greatest common factor 802,593,214 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 87/802, 81/593, 285/214

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 87/802, 81/593, 285/214?

Answer: LCM of Numerators as per given numbers 87/802, 81/593, 285/214 is

LCM of Numerators i.e. for 87,81,285 is 223155

GCF of denominators i.e. for 802,593,214 is 1.

Thus, LCM of Fractions is 223155.Finally, LCM of Fractions for 87/802, 81/593, 285/214 is 223155.