Least Common Multiple of 86/439, 43/588, 382/696

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 86/439, 43/588, 382/696 quickly i.e. 16426 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 86/439, 43/588, 382/696 is 16426.

LCM(86/439, 43/588, 382/696) = 16426

LCM of 86/439, 43/588, 382/696

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 86/439,43/588,382/696

Given numbers are 86/439,43/588,382/696

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 86,43,382

Least Common Multiple of Numerators i.e. LCM of 86,43,382 is 16426.

GCF of Denominators means GCF of 439,588,696 as per the given fractions.

GCF of 439,588,696 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 86,43,382

LCM of Fractions 86/439,43/588,382/696 is 16426

2 86, 43, 382
43 43, 43, 191
1, 1, 191

∴ So the LCM of the given numbers is 2 x 43 x 1 x 1 x 191 = 16426

Least Common Multiple of 86,43,382 with GCF Formula

Least Common Multiple of 86,43,382 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 86,43,382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,43,382) = 1

common factors(in case of two or more numbers have common factors) = 86

GCF(86,43,382) x common factors =1 x 86 = 86

LCM(86,43,382) = ( 86 × 43 × 382 ) / 86

LCM(86,43,382) = 1412636 / 86

LCM(86,43,382) = 16426


Lets's calculate GCF of 439,588,696

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 16426/1

Therefore the LCM of Fractions 86/439,43/588,382/696 is 16426

Greatest Common Factor of 439,588,696 By Matching Biggest Common Factor Method

Greatest Common Factor of 439,588,696 By Matching Biggest Common Factor Method

Factors of 439

List of positive integer factors of 439 that divides 439 without a remainder.

1,439

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 696

List of positive integer factors of 696 that divides 696 without a remainder.

1,2,3,4,6,8,12,24,29,58,87,116,174,232,348,696

Greatest Common Factor

We found the factors 439,588,696 . The biggest common factor number is the GCF number.
So the greatest common factor 439,588,696 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 86/439, 43/588, 382/696

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 86/439, 43/588, 382/696?

Answer: LCM of Numerators as per given numbers 86/439, 43/588, 382/696 is

LCM of Numerators i.e. for 86,43,382 is 16426

GCF of denominators i.e. for 439,588,696 is 1.

Thus, LCM of Fractions is 16426.Finally, LCM of Fractions for 86/439, 43/588, 382/696 is 16426.