Least Common Multiple of 86/240, 36/191, 835/589

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/240, 36/191, 835/589 quickly i.e. 1292580 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/240, 36/191, 835/589 is 1292580.

LCM(86/240, 36/191, 835/589) = 1292580

LCM of 86/240, 36/191, 835/589

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 86/240,36/191,835/589

Given numbers are 86/240,36/191,835/589

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 86,36,835

Least Common Multiple of Numerators i.e. LCM of 86,36,835 is 1292580.

GCF of Denominators means GCF of 240,191,589 as per the given fractions.

GCF of 240,191,589 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,36,835

LCM of Fractions 86/240,36/191,835/589 is 1292580

2 86, 36, 835
43, 18, 835

∴ So the LCM of the given numbers is 2 x 43 x 18 x 835 = 1292580

Least Common Multiple of 86,36,835 with GCF Formula

Least Common Multiple of 86,36,835 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 86,36,835 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,36,835) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(86,36,835) x common factors =1 x 2 = 2

LCM(86,36,835) = ( 86 × 36 × 835 ) / 2

LCM(86,36,835) = 2585160 / 2

LCM(86,36,835) = 1292580


Lets's calculate GCF of 240,191,589

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1292580/1

Therefore the LCM of Fractions 86/240,36/191,835/589 is 1292580

Greatest Common Factor of 240,191,589 By Matching Biggest Common Factor Method

Greatest Common Factor of 240,191,589 By Matching Biggest Common Factor Method

Factors of 240

List of positive integer factors of 240 that divides 240 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,30,40,48,60,80,120,240

Factors of 191

List of positive integer factors of 191 that divides 191 without a remainder.

1,191

Factors of 589

List of positive integer factors of 589 that divides 589 without a remainder.

1,19,31,589

Greatest Common Factor

We found the factors 240,191,589 . The biggest common factor number is the GCF number.
So the greatest common factor 240,191,589 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 86/240, 36/191, 835/589

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 86/240, 36/191, 835/589?

Answer: LCM of Numerators as per given numbers 86/240, 36/191, 835/589 is

LCM of Numerators i.e. for 86,36,835 is 1292580

GCF of denominators i.e. for 240,191,589 is 1.

Thus, LCM of Fractions is 1292580.Finally, LCM of Fractions for 86/240, 36/191, 835/589 is 1292580.