Least Common Multiple of 23/199, 24/123, 892/725

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/199, 24/123, 892/725 quickly i.e. 123096 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/199, 24/123, 892/725 is 123096.

LCM(23/199, 24/123, 892/725) = 123096

LCM of 23/199, 24/123, 892/725

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 23/199,24/123,892/725

Given numbers are 23/199,24/123,892/725

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 23,24,892

Least Common Multiple of Numerators i.e. LCM of 23,24,892 is 123096.

GCF of Denominators means GCF of 199,123,725 as per the given fractions.

GCF of 199,123,725 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,24,892

LCM of Fractions 23/199,24/123,892/725 is 123096

2 23, 24, 892
2 23, 12, 446
23, 6, 223

∴ So the LCM of the given numbers is 2 x 2 x 23 x 6 x 223 = 123096

Least Common Multiple of 23,24,892 with GCF Formula

Least Common Multiple of 23,24,892 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 23,24,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,24,892) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(23,24,892) x common factors =1 x 4 = 4

LCM(23,24,892) = ( 23 × 24 × 892 ) / 4

LCM(23,24,892) = 492384 / 4

LCM(23,24,892) = 123096


Lets's calculate GCF of 199,123,725

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 123096/1

Therefore the LCM of Fractions 23/199,24/123,892/725 is 123096

Greatest Common Factor of 199,123,725 By Matching Biggest Common Factor Method

Greatest Common Factor of 199,123,725 By Matching Biggest Common Factor Method

Factors of 199

List of positive integer factors of 199 that divides 199 without a remainder.

1,199

Factors of 123

List of positive integer factors of 123 that divides 123 without a remainder.

1,3,41,123

Factors of 725

List of positive integer factors of 725 that divides 725 without a remainder.

1,5,25,29,145,725

Greatest Common Factor

We found the factors 199,123,725 . The biggest common factor number is the GCF number.
So the greatest common factor 199,123,725 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 23/199, 24/123, 892/725

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 23/199, 24/123, 892/725?

Answer: LCM of Numerators as per given numbers 23/199, 24/123, 892/725 is

LCM of Numerators i.e. for 23,24,892 is 123096

GCF of denominators i.e. for 199,123,725 is 1.

Thus, LCM of Fractions is 123096.Finally, LCM of Fractions for 23/199, 24/123, 892/725 is 123096.