Least Common Multiple of 69/586, 8382/8086

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 69/586, 8382/8086 quickly i.e. 96393 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 69/586, 8382/8086 is 96393.

LCM(69/586, 8382/8086) = 96393

LCM of 69/586, 8382/8086

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 69/586,8382/8086

Given numbers are 69/586,8382/8086

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 69,8382

Least Common Multiple of Numerators i.e. LCM of 69,8382 is 192786.

GCF of Denominators means GCF of 586,8086 as per the given fractions.

GCF of 586,8086 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 69,8382

LCM of Fractions 69/586,8382/8086 is 96393

3 69, 8382
23, 2794

∴ So the LCM of the given numbers is 3 x 23 x 2794 = 192786

Least Common Multiple of 69,8382 with GCF Formula

Least Common Multiple of 69,8382 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 69,8382 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,8382) = 3

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

GCF(69,8382) x common factors =3 x 1 = 3

LCM(69,8382) = ( 69 × 8382 ) / 3

LCM(69,8382) = 578358 / 3

LCM(69,8382) = 192786


Lets's calculate GCF of 586,8086

2 586, 8086
293, 4043

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 192786/2

Therefore the LCM of Fractions 69/586,8382/8086 is 96393

Greatest Common Factor of 586,8086 By Matching Biggest Common Factor Method

Greatest Common Factor of 586,8086 By Matching Biggest Common Factor Method

Factors of 586

List of positive integer factors of 586 that divides 586 without a remainder.

1,2,293,586

Factors of 8086

List of positive integer factors of 8086 that divides 8086 without a remainder.

1,2,13,26,311,622,4043,8086

Greatest Common Factor

We found the factors 586,8086 . The biggest common factor number is the GCF number.
So the greatest common factor 586,8086 is 2.


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 69/586, 8382/8086

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 69/586, 8382/8086?

Answer: LCM of Numerators as per given numbers 69/586, 8382/8086 is

LCM of Numerators i.e. for 69,8382 is 192786

GCF of denominators i.e. for 586,8086 is 2.

Thus, LCM of Fractions is 96393.Finally, LCM of Fractions for 69/586, 8382/8086 is 96393.