Least Common Multiple of 26/824, 8643/8586

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 26/824, 8643/8586 quickly i.e. 112359 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 26/824, 8643/8586 is 112359.

LCM(26/824, 8643/8586) = 112359

LCM of 26/824, 8643/8586

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 26/824,8643/8586

Given numbers are 26/824,8643/8586

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 26,8643

Least Common Multiple of Numerators i.e. LCM of 26,8643 is 224718.

GCF of Denominators means GCF of 824,8586 as per the given fractions.

GCF of 824,8586 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 26,8643

LCM of Fractions 26/824,8643/8586 is 112359

Given numbers has no common factors except 1. So, there LCM is their product i.e 224718

Least Common Multiple of 26,8643 with GCF Formula

Least Common Multiple of 26,8643 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 26,8643 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,8643) = 1

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

GCF(26,8643) x common factors =1 x 1 = 1

LCM(26,8643) = ( 26 × 8643 ) / 1

LCM(26,8643) = 224718 / 1

LCM(26,8643) = 224718


Lets's calculate GCF of 824,8586

2 824, 8586
412, 4293

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 224718/2

Therefore the LCM of Fractions 26/824,8643/8586 is 112359

Greatest Common Factor of 824,8586 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,8586 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 8586

List of positive integer factors of 8586 that divides 8586 without a remainder.

1,2,3,6,9,18,27,53,54,81,106,159,162,318,477,954,1431,2862,4293,8586

Greatest Common Factor

We found the factors 824,8586 . The biggest common factor number is the GCF number.
So the greatest common factor 824,8586 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 26/824, 8643/8586

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 26/824, 8643/8586?

Answer: LCM of Numerators as per given numbers 26/824, 8643/8586 is

LCM of Numerators i.e. for 26,8643 is 224718

GCF of denominators i.e. for 824,8586 is 2.

Thus, LCM of Fractions is 112359.Finally, LCM of Fractions for 26/824, 8643/8586 is 112359.