Least Common Multiple of 23/13, 24/79, 369/169

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/13, 24/79, 369/169 quickly i.e. 67896 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/13, 24/79, 369/169 is 67896.

LCM(23/13, 24/79, 369/169) = 67896

LCM of 23/13, 24/79, 369/169

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 23/13,24/79,369/169

Given numbers are 23/13,24/79,369/169

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 23,24,369

Least Common Multiple of Numerators i.e. LCM of 23,24,369 is 67896.

GCF of Denominators means GCF of 13,79,169 as per the given fractions.

GCF of 13,79,169 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,24,369

LCM of Fractions 23/13,24/79,369/169 is 67896

3 23, 24, 369
23, 8, 123

∴ So the LCM of the given numbers is 3 x 23 x 8 x 123 = 67896

Least Common Multiple of 23,24,369 with GCF Formula

Least Common Multiple of 23,24,369 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 23,24,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,24,369) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(23,24,369) x common factors =1 x 3 = 3

LCM(23,24,369) = ( 23 × 24 × 369 ) / 3

LCM(23,24,369) = 203688 / 3

LCM(23,24,369) = 67896


Lets's calculate GCF of 13,79,169

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 67896/1

Therefore the LCM of Fractions 23/13,24/79,369/169 is 67896

Greatest Common Factor of 13,79,169 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,79,169 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 79

List of positive integer factors of 79 that divides 79 without a remainder.

1,79

Factors of 169

List of positive integer factors of 169 that divides 169 without a remainder.

1,13,169

Greatest Common Factor

We found the factors 13,79,169 . The biggest common factor number is the GCF number.
So the greatest common factor 13,79,169 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 23/13, 24/79, 369/169

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 23/13, 24/79, 369/169?

Answer: LCM of Numerators as per given numbers 23/13, 24/79, 369/169 is

LCM of Numerators i.e. for 23,24,369 is 67896

GCF of denominators i.e. for 13,79,169 is 1.

Thus, LCM of Fractions is 67896.Finally, LCM of Fractions for 23/13, 24/79, 369/169 is 67896.