Least Common Multiple of 23/136, 74/687, 174/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 23/136, 74/687, 174/233 quickly i.e. 148074 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 23/136, 74/687, 174/233 is 148074.

LCM(23/136, 74/687, 174/233) = 148074

LCM of 23/136, 74/687, 174/233

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 23/136,74/687,174/233

Given numbers are 23/136,74/687,174/233

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 23,74,174

Least Common Multiple of Numerators i.e. LCM of 23,74,174 is 148074.

GCF of Denominators means GCF of 136,687,233 as per the given fractions.

GCF of 136,687,233 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 23,74,174

LCM of Fractions 23/136,74/687,174/233 is 148074

2 23, 74, 174
23, 37, 87

∴ So the LCM of the given numbers is 2 x 23 x 37 x 87 = 148074

Least Common Multiple of 23,74,174 with GCF Formula

Least Common Multiple of 23,74,174 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 23,74,174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,74,174) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(23,74,174) x common factors =1 x 2 = 2

LCM(23,74,174) = ( 23 × 74 × 174 ) / 2

LCM(23,74,174) = 296148 / 2

LCM(23,74,174) = 148074


Lets's calculate GCF of 136,687,233

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

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 148074/1

Therefore the LCM of Fractions 23/136,74/687,174/233 is 148074

Greatest Common Factor of 136,687,233 By Matching Biggest Common Factor Method

Greatest Common Factor of 136,687,233 By Matching Biggest Common Factor Method

Factors of 136

List of positive integer factors of 136 that divides 136 without a remainder.

1,2,4,8,17,34,68,136

Factors of 687

List of positive integer factors of 687 that divides 687 without a remainder.

1,3,229,687

Factors of 233

List of positive integer factors of 233 that divides 233 without a remainder.

1,233

Greatest Common Factor

We found the factors 136,687,233 . The biggest common factor number is the GCF number.
So the greatest common factor 136,687,233 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 23/136, 74/687, 174/233

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 23/136, 74/687, 174/233?

Answer: LCM of Numerators as per given numbers 23/136, 74/687, 174/233 is

LCM of Numerators i.e. for 23,74,174 is 148074

GCF of denominators i.e. for 136,687,233 is 1.

Thus, LCM of Fractions is 148074.Finally, LCM of Fractions for 23/136, 74/687, 174/233 is 148074.