Least Common Multiple of 8231/796, 2699/826

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 8231/796, 2699/826 quickly i.e. 22215469/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 8231/796, 2699/826 is 22215469/2.

LCM(8231/796, 2699/826) = 22215469/2

LCM of 8231/796, 2699/826

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 8231/796,2699/826

Given numbers are 8231/796,2699/826

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 8231,2699

Least Common Multiple of Numerators i.e. LCM of 8231,2699 is 22215469.

GCF of Denominators means GCF of 796,826 as per the given fractions.

GCF of 796,826 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 8231,2699

LCM of Fractions 8231/796,2699/826 is 22215469/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 22215469

Least Common Multiple of 8231,2699 with GCF Formula

Least Common Multiple of 8231,2699 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 8231,2699 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8231,2699) = 1

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

GCF(8231,2699) x common factors =1 x 1 = 1

LCM(8231,2699) = ( 8231 × 2699 ) / 1

LCM(8231,2699) = 22215469 / 1

LCM(8231,2699) = 22215469


Lets's calculate GCF of 796,826

2 796, 826
398, 413

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 22215469/2

Therefore the LCM of Fractions 8231/796,2699/826 is 22215469/2

Greatest Common Factor of 796,826 By Matching Biggest Common Factor Method

Greatest Common Factor of 796,826 By Matching Biggest Common Factor Method

Factors of 796

List of positive integer factors of 796 that divides 796 without a remainder.

1,2,4,199,398,796

Factors of 826

List of positive integer factors of 826 that divides 826 without a remainder.

1,2,7,14,59,118,413,826

Greatest Common Factor

We found the factors 796,826 . The biggest common factor number is the GCF number.
So the greatest common factor 796,826 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 8231/796, 2699/826

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 8231/796, 2699/826?

Answer: LCM of Numerators as per given numbers 8231/796, 2699/826 is

LCM of Numerators i.e. for 8231,2699 is 22215469

GCF of denominators i.e. for 796,826 is 2.

Thus, LCM of Fractions is 22215469/2.Finally, LCM of Fractions for 8231/796, 2699/826 is 22215469/2.