Least Common Multiple of 608/23, 823/5198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 608/23, 823/5198 quickly i.e. 500384/23 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 608/23, 823/5198 is 500384/23.

LCM(608/23, 823/5198) = 500384/23

LCM of 608/23, 823/5198

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 608/23,823/5198

Given numbers are 608/23,823/5198

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 608,823

Least Common Multiple of Numerators i.e. LCM of 608,823 is 500384.

GCF of Denominators means GCF of 23,5198 as per the given fractions.

GCF of 23,5198 is 23 as it is the largest common factor for these numbers.

Lets's calculate LCM of 608,823

LCM of Fractions 608/23,823/5198 is 500384/23

Given numbers has no common factors except 1. So, there LCM is their product i.e 500384

Least Common Multiple of 608,823 with GCF Formula

Least Common Multiple of 608,823 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 608,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(608,823) = 1

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

GCF(608,823) x common factors =1 x 1 = 1

LCM(608,823) = ( 608 × 823 ) / 1

LCM(608,823) = 500384 / 1

LCM(608,823) = 500384


Lets's calculate GCF of 23,5198

23 23, 5198
1, 226

∴ So the GCF of the given numbers is 23 = 23

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 500384/23

Therefore the LCM of Fractions 608/23,823/5198 is 500384/23

Greatest Common Factor of 23,5198 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,5198 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 5198

List of positive integer factors of 5198 that divides 5198 without a remainder.

1,2,23,46,113,226,2599,5198

Greatest Common Factor

We found the factors 23,5198 . The biggest common factor number is the GCF number.
So the greatest common factor 23,5198 is 23.


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 608/23, 823/5198

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 608/23, 823/5198?

Answer: LCM of Numerators as per given numbers 608/23, 823/5198 is

LCM of Numerators i.e. for 608,823 is 500384

GCF of denominators i.e. for 23,5198 is 23.

Thus, LCM of Fractions is 500384/23.Finally, LCM of Fractions for 608/23, 823/5198 is 500384/23.